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Number of nX5 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.
1

%I #4 Apr 21 2018 12:46:20

%S 8,7,24,50,139,349,853,2180,5525,13824,34900,88161,221923,559409,

%T 1411020,3556271,8964218,22600998,56974213,143622769,362071261,

%U 912756908,2300972077,5800604608,14622927344,36863258801,92929626827,234268970653

%N Number of nX5 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 5 of A303314.

%H R. H. Hardin, <a href="/A303311/b303311.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +9*a(n-3) +2*a(n-4) +4*a(n-5) -10*a(n-6) -6*a(n-7) +4*a(n-9) for n>12

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 21 2018