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A302890 Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 15 2018 10:51:02

%S 4,2,37,53,197,818,2548,10926,42671,176119,742413,3138038,13445806,

%T 57784846,249318271,1078199427,4668892009,20238323768,87777824464,

%U 380862666946,1652959447763,7175063435815,31148370485509,135230298285690

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

%C Row 3 of A302889.

%H R. H. Hardin, <a href="/A302890/b302890.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -5*a(n-2) -39*a(n-3) +8*a(n-4) +198*a(n-5) -56*a(n-6) -411*a(n-7) +6*a(n-8) +646*a(n-9) -35*a(n-10) -602*a(n-11) +26*a(n-12) +413*a(n-13) -25*a(n-14) -114*a(n-15) -18*a(n-16) for n>17

%e Some solutions for n=5

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

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

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

%Y Cf. A302889.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 15 2018

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)