A303313 - OEIS

%I #4 Apr 21 2018 12:47:38

%S 21,23,158,439,1799,7096,26184,100128,387892,1473950,5617780,21537368,

%T 82283698,314136752,1201134460,4591062616,17541004106,67038118694,

%U 256214474112,979116873266,3741800363318,14300090089956,54649561868376

%N 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 Column 7 of A303314.

%H R. H. Hardin, <a href="/A303313/b303313.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Some solutions for n=5

%e ..0..1..0..1..0..0..0. .0..1..0..1..0..1..0. .0..0..1..0..1..0..1

%e ..0..1..1..1..0..1..0. .0..1..0..0..0..1..0. .1..1..1..0..1..0..1

%e ..0..1..0..1..0..1..0. .0..1..0..1..0..1..0. .1..0..1..0..1..1..1

%e ..0..0..0..1..0..1..0. .0..1..1..1..0..1..0. .1..0..1..0..1..0..1

%e ..1..1..0..1..0..0..0. .0..1..0..1..0..1..0. .1..1..1..0..1..0..1

%Y Cf. A303314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 21 2018