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 A240251 Number of 2Xn 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest or the sum of the elements antidiagonally to its northeast, modulo 4 1

%I #4 Apr 03 2014 07:15:49

%S 6,0,8,40,152,540,1578,5912,18528,65302,212372,733426,2426106,8296612,

%T 27678444,94137686,315632340,1069956004,3597752554,12172795856,

%U 40997298324,138562059118,467091216442,1577693637918,5321097135168

%N Number of 2Xn 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest or the sum of the elements antidiagonally to its northeast, modulo 4

%C Row 2 of A240250

%H R. H. Hardin, <a href="/A240251/b240251.txt">Table of n, a(n) for n = 1..167</a>

%F Empirical: a(n) = a(n-1) +13*a(n-2) -2*a(n-3) -43*a(n-4) -28*a(n-5) +4*a(n-6) -a(n-7) +89*a(n-8) +142*a(n-9) -137*a(n-10) +71*a(n-11) +263*a(n-12) -232*a(n-13) +48*a(n-14) +179*a(n-15) -182*a(n-16) +52*a(n-17) +106*a(n-18) +34*a(n-19) +10*a(n-20) +12*a(n-21) +22*a(n-22) -36*a(n-23) +4*a(n-24) +4*a(n-25)

%e Some solutions for n=4

%e ..2..1..2..2....3..2..2..2....3..1..2..1....1..3..3..2....2..1..1..1

%e ..3..0..0..1....1..0..3..3....2..0..3..3....2..0..1..1....3..0..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 03 2014

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Last modified June 21 23:48 EDT 2024. Contains 373560 sequences. (Running on oeis4.)