%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