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Number of nX6 0..1 arrays with every element equal to 0, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Feb 13 2018 11:24:28

%S 1,9,63,126,616,2597,10646,56122,291690,1619418,9531569,56433590,

%T 342408708,2091962592,12821206665,78997049530,487227596183,

%U 3008177670538,18591222770287,114925741256105,710646665777007,4395164880188948

%N Number of nX6 0..1 arrays with every element equal to 0, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A299581.

%H R. H. Hardin, <a href="/A299579/b299579.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299581.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 13 2018