cp's OEIS Frontend

A303313 Number of nX7 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A303313 #4 Apr 21 2018 12:47:38
%S A303313 21,23,158,439,1799,7096,26184,100128,387892,1473950,5617780,21537368,
%T A303313 82283698,314136752,1201134460,4591062616,17541004106,67038118694,
%U A303313 256214474112,979116873266,3741800363318,14300090089956,54649561868376
%N A303313 Number of nX7 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A303313 Column 7 of A303314.
%H A303313 R. H. Hardin, <a href="/A303313/b303313.txt">Table of n, a(n) for n = 1..210</a>
%F A303313 Empirical: a(n) = a(n-1) +a(n-2) +36*a(n-3) +23*a(n-4) +15*a(n-5) -252*a(n-6) -288*a(n-7) -81*a(n-8) +830*a(n-9) +496*a(n-10) +172*a(n-11) -720*a(n-12) -184*a(n-13) -396*a(n-14) +352*a(n-15) -248*a(n-16) +112*a(n-17) -176*a(n-18) -64*a(n-20) for n>23
%e A303313 Some solutions for n=5
%e A303313 ..0..1..0..1..0..0..0. .0..1..0..1..0..1..0. .0..0..1..0..1..0..1
%e A303313 ..0..1..1..1..0..1..0. .0..1..0..0..0..1..0. .1..1..1..0..1..0..1
%e A303313 ..0..1..0..1..0..1..0. .0..1..0..1..0..1..0. .1..0..1..0..1..1..1
%e A303313 ..0..0..0..1..0..1..0. .0..1..1..1..0..1..0. .1..0..1..0..1..0..1
%e A303313 ..1..1..0..1..0..0..0. .0..1..0..1..0..1..0. .1..1..1..0..1..0..1
%Y A303313 Cf. A303314.
%K A303313 nonn
%O A303313 1,1
%A A303313 _R. H. Hardin_, Apr 21 2018