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A303418 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 23 2018 10:52:44

%S 16,512,15647,480953,14783632,454381369,13965759339,429248347970,

%T 13193275586412,405505402581780,12463518290067297,383075754661780748,

%U 11774125924935072114,361886753753857667867,11122865797202721389960

%N Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A303421.

%H R. H. Hardin, <a href="/A303418/b303418.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 25*a(n-1) +145*a(n-2) +920*a(n-3) +1265*a(n-4) +1083*a(n-5) -13664*a(n-6) -14525*a(n-7) -1491*a(n-8) +33615*a(n-9) +17971*a(n-10) -5436*a(n-11) -22517*a(n-12) -1311*a(n-13) +444*a(n-14) +1917*a(n-15) -144*a(n-16)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303421.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 23 2018

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Last modified September 8 11:12 EDT 2024. Contains 375753 sequences. (Running on oeis4.)