%I #4 Dec 11 2017 15:34:42
%S 1,114,1182,17783,368770,6200926,107541673,1896487480,33169242951,
%T 581034735208,10175550661927,178195092238296,3120979490569285,
%U 54657658052862375,957239287898636263,16764522337353504432
%N Number of nX6 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 or 3 neighboring 1s.
%C Column 6 of A296405.
%H R. H. Hardin, <a href="/A296403/b296403.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..1..1..1..0..0..1. .1..1..0..1..1..0. .1..1..1..1..1..0. .0..0..1..1..1..1
%e ..1..0..1..1..1..1. .1..1..0..1..1..0. .1..0..0..1..1..0. .1..1..0..1..0..1
%e ..0..0..1..0..0..1. .0..0..0..0..1..1. .0..1..0..0..1..1. .1..0..1..0..0..1
%e ..0..0..1..1..1..0. .0..0..0..0..1..1. .1..1..0..0..1..0. .0..1..1..1..1..1
%Y Cf. A296405.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 11 2017