# This is the a336351.txt text file.
# All sets (cyclic arrangements) that yield a(n) for n = 1..21
# from Fausto A. C. Cariboni, a(1)-a(17) Jul 19 2020, a(18) Aug 05 2020, a(19) Aug 10 2020, a(20) Aug 13 2020, a(21) Aug 22 2020

For n = 1 the a(1) = 1 solution:
S = {3,1,2}

For n = 2 the a(2) = 1 solution:
S = {3,1,5,9,7,8,6,4,2}

For n = 3 the a(3) = 1 solution:
S = {3,1,5,9,7,11,15,13,14,12,10,8,6,4,2}

For n = 4 the a(4) = 1 solution:
S = {3,1,5,9,7,11,15,13,17,21,19,20,18,16,14,12,10,8,6,4,2}

For n = 5 the a(5) = 1 solution:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,26,24,22,20,18,16,14,12,10,8,6,4,2}

For n = 6 the a(6) = 1 solution:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}

For n = 7 the a(7) = 1 solution:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}

For n = 8 the a(8) = 2 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 9 the a(9) = 3 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 10 the a(10) = 4 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 11 the a(11) = 5 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,61,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,61,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,61,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 12 the a(12) = 7 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,67,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,61,65,69,67,68,66,64,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,61,65,69,67,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,61,65,69,67,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 13 the a(13) = 9 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,73,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,67,71,75,73,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,61,65,69,67,71,75,73,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,61,65,69,67,71,75,73,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,65,63,67,71,75,73,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,73,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 14 the a(14) = 12 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,73,77,81,79,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,61,65,69,67,71,75,73,77,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,59,75,67,71,69,73,77,81,79,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,49,47,45,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,65,63,67,71,75,73,77,81,79,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 15 the a(15) = 16 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,65,81,73,77,75,79,83,87,85,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,55,53,51,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,59,75,67,71,69,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,49,47,45,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 16 the a(16) = 22 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,71,87,79,83,81,85,89,93,91,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,65,81,73,77,75,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,55,53,51,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,49,47,45,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,71,87,79,83,81,85,89,93,91,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 17 the a(17) = 30 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,77,93,85,89,87,91,95,99,97,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,67,65,63,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,71,87,79,83,81,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,55,53,51,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,49,47,45,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,77,93,85,89,87,91,95,99,97,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,67,65,63,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,27,43,59,75,67,71,63,55,47,51,49,53,45,37,29,33,25,41,57,73,65,69,61,77,93,85,89,87,91,95,99,97,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,71,87,79,83,81,85,89,93,91,95,99,97,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 18 the a(18) = 41 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,73,71,69,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,77,93,85,89,87,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,67,65,63,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,53,51,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,31,29,33,25,41,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,55,53,51,52,50,48,46,47,45,43,44,42,40,38,39,37,35,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,47,45,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,49,47,45,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,25,23,27,19,35,51,43,59,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,73,71,69,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,49,47,45,46,44,42,40,41,39,37,38,36,34,32,33,31,29,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,33,49,65,81,73,77,69,61,53,57,55,59,51,43,35,39,31,47,63,79,71,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,41,39,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,77,93,85,89,87,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,67,65,63,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,27,43,59,75,67,71,63,55,47,51,49,53,45,37,29,33,25,41,57,73,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,73,71,69,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 19 the a(19) = 55 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,55,53,57,49,65,81,73,89,105,97,101,99,103,107,111,109,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,79,77,75,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,83,99,91,95,93,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,73,71,69,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
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S = {3,1,5,9,13,11,15,7,23,39,31,35,27,43,59,75,67,71,63,55,47,51,49,53,45,37,29,33,25,41,57,73,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,55,53,57,49,65,81,73,89,105,97,101,99,103,107,111,109,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,79,77,75,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,83,99,91,95,93,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,73,71,69,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,107,111,109,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 20 the a(20) = 74 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,85,83,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,85,83,81,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,55,53,57,49,65,81,73,89,105,97,101,99,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,79,77,75,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,85,83,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,49,47,51,43,59,75,67,83,99,91,95,93,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,73,71,69,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,73,77,81,85,83,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,65,63,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,43,41,45,37,53,69,61,77,93,85,89,87,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,67,65,63,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,85,83,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,59,57,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,37,35,39,31,47,63,55,71,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,85,83,81,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
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S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,65,63,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,65,63,67,71,75,73,77,81,85,83,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,65,63,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,19,17,21,13,29,45,37,53,69,61,77,93,85,89,87,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,67,65,63,64,62,60,58,59,57,55,56,54,52,50,51,49,47,48,46,44,42,43,41,39,40,38,36,34,35,33,31,32,30,28,26,27,25,23,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,27,43,59,75,67,71,63,55,47,51,49,53,45,37,29,33,25,41,57,73,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,85,83,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,85,83,81,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,43,47,51,55,53,57,49,65,81,73,89,105,97,101,99,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,79,77,75,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,71,69,73,77,81,85,83,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,82,80,78,76,74,72,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,35,33,37,41,45,49,47,51,43,59,75,67,83,99,91,95,93,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,73,71,69,70,68,66,64,65,63,61,62,60,58,56,57,55,53,54,52,50,48,46,44,42,40,38,36,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,73,77,81,85,83,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,59,57,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,13,11,15,7,23,39,31,47,63,55,71,87,79,95,111,103,107,105,109,113,117,115,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,85,83,81,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,61,59,57,58,56,54,52,53,51,49,50,48,46,44,45,43,41,42,40,38,36,37,35,33,34,32,30,28,29,27,25,26,24,22,20,21,19,17,18,16,14,12,10,8,6,4,2}

For n = 21 the a(21) = 100 solutions:
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,119,123,121,122,120,118,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,79,83,87,91,89,93,85,101,117,109,113,111,115,119,123,121,122,120,118,116,114,112,110,108,106,107,105,103,104,102,100,98,99,97,95,96,94,92,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,73,77,81,85,83,87,79,95,111,103,107,105,109,113,117,115,119,123,121,122,120,118,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,67,71,75,79,77,81,73,89,105,97,101,99,103,107,111,109,113,117,115,119,123,121,122,120,118,116,114,112,110,108,106,104,102,100,98,96,94,95,93,91,92,90,88,86,87,85,83,84,82,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,61,65,69,73,71,75,67,83,99,91,95,93,97,101,105,103,107,111,109,113,117,115,119,123,121,122,120,118,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,89,87,85,86,84,82,80,81,79,77,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,89,87,91,95,99,97,101,105,103,107,111,109,113,117,115,119,123,121,122,120,118,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,55,59,63,67,65,69,61,77,93,85,101,117,109,113,111,115,119,123,121,122,120,118,116,114,112,110,108,106,107,105,103,104,102,100,98,99,97,95,96,94,92,90,91,89,87,88,86,84,82,83,81,79,80,78,76,74,75,73,71,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,83,81,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,119,123,121,122,120,118,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,49,53,57,61,59,63,55,71,87,79,95,111,103,107,105,109,113,117,115,119,123,121,122,120,118,116,114,112,110,108,106,104,102,100,101,99,97,98,96,94,92,93,91,89,90,88,86,84,85,83,81,82,80,78,76,77,75,73,74,72,70,68,69,67,65,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,85,89,93,91,95,99,97,101,105,103,107,111,109,113,117,115,119,123,121,122,120,118,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
S = {3,1,5,9,7,11,15,13,17,21,19,23,27,25,29,33,31,35,39,37,41,45,43,47,51,55,53,57,49,65,81,73,77,75,79,83,87,91,89,93,85,101,117,109,113,111,115,119,123,121,122,120,118,116,114,112,110,108,106,107,105,103,104,102,100,98,99,97,95,96,94,92,90,88,86,84,82,80,78,76,74,72,70,71,69,67,68,66,64,62,63,61,59,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,26,24,22,20,18,16,14,12,10,8,6,4,2}
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