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Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.
1

%I #4 Jan 16 2018 08:55:11

%S 32,137,72,233,515,990,1798,4079,9026,18246,39612,86150,184768,396522,

%T 854978,1840676,3976611,8577126,18505102,40008385,86432218,186718489,

%U 403706444,872806433,1886931887,4080348203,8825031925,19084949119

%N Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.

%C Column 6 of A298294.

%H R. H. Hardin, <a href="/A298292/b298292.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298294.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2018