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Number of nX5 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Mar 30 2018 12:50:52

%S 16,512,13616,369040,9989376,270422672,7320574992,198174358400,

%T 5364752820144,145228540660944,3931463336250816,106428143490485072,

%U 2881102723859806480,77993965065966629248,2111364699472345059888

%N Number of nX5 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A302010.

%H R. H. Hardin, <a href="/A302007/b302007.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) +82*a(n-2) +34*a(n-3) -90*a(n-4) -40*a(n-5) +37*a(n-6)

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

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

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

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

%Y Cf. A302010.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 30 2018