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A302424 Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 07 2018 17:19:43

%S 8,25,38,83,372,992,2503,7611,21321,57872,165477,466562,1295244,

%T 3650383,10273619,28731647,80699298,226782203,635782434,1784439210,

%U 5010891107,14059108195,39455529673,110758862832,310832105329,872338548750

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

%C Column 5 of A302427.

%H R. H. Hardin, <a href="/A302424/b302424.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +21*a(n-3) -11*a(n-4) -9*a(n-5) -149*a(n-6) +82*a(n-7) +36*a(n-8) +514*a(n-9) -390*a(n-10) -78*a(n-11) -888*a(n-12) +942*a(n-13) +22*a(n-14) +646*a(n-15) -1008*a(n-16) +68*a(n-17) +48*a(n-18) +368*a(n-19) -288*a(n-21) for n>24

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302427.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 07 2018

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Last modified April 19 15:34 EDT 2024. Contains 371794 sequences. (Running on oeis4.)