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Number of 5Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Apr 16 2018 11:43:32

%S 0,111,3815,80589,2104533,58679318,1596912288,43234526916,

%T 1172920595173,31835504010739,863919963653140,23443241891419774,

%U 636163926665744028,17263226518198169813,468461872965045734740,12712366216384150285383

%N Number of 5Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 5 of A302953.

%H R. H. Hardin, <a href="/A302956/b302956.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A302956/a302956.txt">Empirical recurrence of order 73</a>

%F Empirical recurrence of order 73 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302953.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 16 2018