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A316514 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 05 2018 07:14:16

%S 8,49,75,204,619,1710,4894,14053,40063,114638,327924,937707,2681815,

%T 7670058,21936014,62736041,179423533,513145422,1467578778,4197229249,

%U 12003940959,34330885028,98185232056,280806616573,803097918855

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A316518.

%H R. H. Hardin, <a href="/A316514/b316514.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +6*a(n-3) +3*a(n-4) -a(n-5) -5*a(n-6) -4*a(n-7) -4*a(n-8) +2*a(n-10) for n>13

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316518.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 05 2018

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Last modified May 5 23:49 EDT 2024. Contains 372290 sequences. (Running on oeis4.)