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A302737 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 12 2018 11:18:50

%S 8,128,1637,21625,286631,3798398,50347423,667361051,8845980434,

%T 117255120887,1554238778426,20601729761966,273079838843598,

%U 3619725111303264,47980143627858744,635985913868386593

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A302741.

%H R. H. Hardin, <a href="/A302737/b302737.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) +20*a(n-2) -18*a(n-3) -326*a(n-4) -375*a(n-5) +241*a(n-6) +1721*a(n-7) +1034*a(n-8) -798*a(n-9) -966*a(n-10) +86*a(n-11) +278*a(n-12) -242*a(n-13) -348*a(n-14) -112*a(n-15)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302741.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 12 2018

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Last modified September 15 22:11 EDT 2024. Contains 375959 sequences. (Running on oeis4.)