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Number of nX6 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.
1

%I #4 Dec 16 2017 08:13:51

%S 21,1785,58251,2271055,91004329,3553672817,139547279602,5483284264255,

%T 215325152512080,8456644209542369,332127680070833366,

%U 13043925893565344468,512285988066386259951,20119470378862894580835

%N Number of nX6 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

%C Column 6 of A296599.

%H R. H. Hardin, <a href="/A296597/b296597.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A296599.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2017