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A304268 Number of nX6 0..1 arrays with every element unequal to 0, 1, 5 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 13,13,37,116,404,1246,3788,12342,39252,122156,388150,1234248,3885916,

%T 12284744,38942904,123064868,388956186,1231020108,3893434762,

%U 12310010474,38938978286,123164661778,389498928546,1231896735244,3896353516054

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

%C Column 6 of A304270.

%H R. H. Hardin, <a href="/A304268/b304268.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +16*a(n-3) +7*a(n-4) -14*a(n-5) -45*a(n-6) -14*a(n-7) +5*a(n-8) +38*a(n-9) +13*a(n-10) -6*a(n-11) -6*a(n-12) for n>13

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304270.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 09 2018

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Last modified January 26 23:54 EST 2022. Contains 350601 sequences. (Running on oeis4.)