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Number of nX7 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
1

%I #4 Feb 06 2018 13:22:39

%S 8,2048,13075,144040,3860858,76611604,1227812226,23819382545,

%T 471369052777,8749447076371,164571560365968,3152188315142786,

%U 59832211663862100,1132092731063667371,21504285978321722965

%N Number of nX7 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 7 of A299307.

%H R. H. Hardin, <a href="/A299306/b299306.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299307.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 06 2018