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A302382 Number of 3Xn 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 06 2018 12:43:09

%S 0,11,76,430,2886,19215,127535,847604,5631313,37416247,248600404,

%T 1651756796,10974620983,72917744789,484481101148,3218996316583,

%U 21387701319096,142104471542165,944172564092345,6273284870138765

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

%C Row 3 of A302381.

%H R. H. Hardin, <a href="/A302382/b302382.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +15*a(n-2) +14*a(n-3) +19*a(n-4) +8*a(n-5) +9*a(n-6) -9*a(n-7) +4*a(n-8) -5*a(n-9) +3*a(n-10) -3*a(n-11) -5*a(n-12) +a(n-13) -2*a(n-14) for n>15

%e Some solutions for n=5

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

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

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

%Y Cf. A302381.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 06 2018

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Last modified November 28 14:45 EST 2023. Contains 367419 sequences. (Running on oeis4.)