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Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Feb 12 2018 20:38:18

%S 5,604,3124,20044,140401,997212,6974944,49037025,345316723,2430376758,

%T 17109778022,120507273053,848674058873,5976488058850,42090770441039,

%U 296436570688028,2087716660985711,14703351353537119,103553004320953917

%N Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A299567.

%H R. H. Hardin, <a href="/A299565/b299565.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299567.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 12 2018