# This is the a338564.txt text file.
# All sets (cyclic arrangements) that yield a(n) for n = 3..11
# from Fausto A. C. Cariboni, Nov 02 2020
# Sets lexicographically ordered.

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

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

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

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

For n = 10 the a(10) = 17 solutions:
S = {1,4,3,7,8,2,9,10,6,5}
S = {1,4,3,7,8,2,10,9,6,5}
S = {1,4,3,7,9,2,8,10,6,5}
S = {1,4,3,7,9,2,10,8,6,5}
S = {1,4,3,7,9,10,2,8,6,5}
S = {1,4,3,7,9,10,8,2,6,5}
S = {1,4,3,7,10,9,2,8,6,5}
S = {1,4,3,7,10,9,8,2,6,5}
S = {1,8,7,2,5,3,4,6,10,9}
S = {1,8,7,2,5,3,6,4,10,9}
S = {1,8,7,3,4,2,5,6,10,9}
S = {1,8,7,3,4,2,6,5,10,9}
S = {1,8,7,3,5,2,4,6,10,9}
S = {1,8,7,3,5,2,6,4,10,9}
S = {1,8,7,4,3,2,5,6,10,9}
S = {1,8,7,5,2,3,4,6,10,9}
S = {1,8,7,5,3,2,4,6,10,9}

For n = 11 the a(11) = 51 solutions:
S = {1,4,3,7,8,2,9,10,11,6,5}
S = {1,4,3,7,8,2,9,11,10,6,5}
S = {1,4,3,7,8,2,10,9,11,6,5}
S = {1,4,3,7,8,2,10,11,9,6,5}
S = {1,4,3,7,8,9,2,10,11,6,5}
S = {1,4,3,7,8,9,2,11,10,6,5}
S = {1,4,3,7,8,10,2,9,11,6,5}
S = {1,4,3,7,8,10,2,11,9,6,5}
S = {1,4,3,7,9,2,8,10,11,6,5}
S = {1,4,3,7,9,2,10,8,11,6,5}
S = {1,4,3,7,9,2,10,11,8,6,5}
S = {1,4,3,7,9,2,11,10,8,6,5}
S = {1,4,3,7,9,8,2,10,11,6,5}
S = {1,4,3,7,9,11,2,10,8,6,5}
S = {1,4,3,7,9,11,10,2,8,6,5}
S = {1,4,3,7,9,11,10,8,2,6,5}
S = {1,4,3,7,10,8,2,9,11,6,5}
S = {1,4,3,7,10,11,2,9,8,6,5}
S = {1,4,3,7,10,11,9,2,8,6,5}
S = {1,4,3,7,10,11,9,8,2,6,5}
S = {1,5,4,8,9,2,11,10,3,7,6}
S = {1,5,4,8,10,2,11,9,3,7,6}
S = {1,5,4,8,10,3,11,9,2,7,6}
S = {1,5,4,8,11,3,10,9,2,7,6}
S = {1,5,4,9,11,2,10,8,3,7,6}
S = {1,5,4,9,11,3,10,8,2,7,6}
S = {1,8,7,3,4,2,5,6,11,10,9}
S = {1,8,7,3,4,2,6,5,11,10,9}
S = {1,8,7,4,3,2,5,6,11,10,9}
S = {1,9,8,2,6,4,3,5,7,11,10}
S = {1,9,8,2,6,4,3,7,5,11,10}
S = {1,9,8,2,6,5,3,4,7,11,10}
S = {1,9,8,2,6,5,3,7,4,11,10}
S = {1,9,8,3,5,2,4,6,7,11,10}
S = {1,9,8,3,5,2,6,4,7,11,10}
S = {1,9,8,3,5,2,6,7,4,11,10}
S = {1,9,8,3,5,4,2,6,7,11,10}
S = {1,9,8,3,6,4,2,5,7,11,10}
S = {1,9,8,5,3,2,4,6,7,11,10}
S = {1,9,8,5,3,4,2,6,7,11,10}
S = {1,9,8,6,2,4,3,5,7,11,10}
S = {1,9,8,6,2,4,3,7,5,11,10}
S = {1,9,8,6,2,5,3,4,7,11,10}
S = {1,9,8,6,2,5,3,7,4,11,10}
S = {1,9,8,6,3,4,2,5,7,11,10}
S = {1,9,8,6,4,2,3,5,7,11,10}
S = {1,9,8,6,4,3,2,5,7,11,10}
S = {1,9,8,6,5,2,3,4,7,11,10}
S = {1,9,8,7,3,4,2,5,6,11,10}
S = {1,9,8,7,3,4,2,6,5,11,10}
S = {1,9,8,7,4,3,2,5,6,11,10}