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%I #4 Dec 15 2017 16:28:48
%S 1,1,7,17,34,62,148,347,786,1702,3761,8400,18843,41959,93233,207359,
%T 462209,1030065,2293768,5106282,11371588,25328516,56410914,125623824,
%U 279760971,623046005,1387574808,3090202195,6882002941,15326533700
%N Number of nX7 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 3 or 6 neighboring 1s.
%C Column 7 of A296554.
%H R. H. Hardin, <a href="/A296553/b296553.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=14
%e ..0..1..1..0..0..1..1. .0..1..1..0..0..0..0. .0..0..1..1..0..0..0
%e ..1..1..1..0..1..1..1. .1..1..1..0..0..0..0. .0..1..1..1..0..0..0
%e ..1..1..0..0..1..1..0. .1..1..0..0..0..1..1. .0..1..1..0..0..1..1
%e ..0..0..0..0..0..0..0. .0..0..0..0..1..1..1. .0..0..0..0..1..1..1
%e ..0..0..0..0..0..0..0. .0..1..1..0..1..1..0. .0..1..1..0..1..1..0
%e ..0..0..0..0..0..0..0. .1..1..1..0..0..0..0. .1..1..1..0..0..0..0
%e ..0..0..0..0..0..0..0. .1..1..0..0..0..0..0. .1..1..0..0..1..1..0
%e ..0..0..0..1..1..1..1. .0..0..0..0..0..1..1. .0..0..0..1..1..1..0
%e ..0..0..1..1..0..1..1. .0..0..0..0..1..1..1. .0..0..0..1..1..0..0
%e ..0..1..0..0..0..0..1. .0..1..1..0..1..1..0. .0..0..0..0..0..0..0
%e ..1..1..0..0..0..1..1. .1..1..1..0..0..0..0. .0..0..0..0..0..0..0
%e ..1..0..0..0..0..1..0. .1..1..0..1..1..0..0. .0..0..1..1..0..0..0
%e ..1..1..0..1..1..0..0. .0..0..1..1..1..0..0. .0..1..1..1..0..0..0
%e ..1..1..1..1..0..0..0. .0..0..1..1..0..0..0. .0..1..1..0..0..0..0
%Y Cf. A296554.
%K nonn
%O 1,3
%A _R. H. Hardin_, Dec 15 2017
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