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Number of nX6 0..1 arrays with every element equal to 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
1

%I #4 Jan 12 2018 09:48:26

%S 0,5,3,20,70,847,2934,27671,139992,1031816,5985115,41326422,252034826,

%T 1675068288,10527431309,68645440055,436700979975,2826143858103,

%U 18075619384704,116539777329390,747352195049649,4809997865329487

%N Number of nX6 0..1 arrays with every element equal to 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 6 of A298100.

%H R. H. Hardin, <a href="/A298098/b298098.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298100.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 12 2018