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Number of n X 5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 3 neighboring 1's.
1

%I #6 May 21 2021 15:49:32

%S 13,172,1465,17503,214830,2607478,32689069,410639937,5176790260,

%T 65394508217,826571137077,10452767413879,132208233462608,

%U 1672356373602708,21155383895452555,267622421713519165

%N Number of n X 5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 3 neighboring 1's.

%C Column 5 of A296588.

%H R. H. Hardin, <a href="/A296585/b296585.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A296588.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2017