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A320367 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Oct 11 2018 14:09:26

%S 8,128,1612,19840,245060,3027408,37398884,462004160,5707334644,

%T 70505149536,870980328164,10759593299088,132917867720276,

%U 1641991390503824,20284223429413892,250579706152958368

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

%C Column 4 of A320371.

%H R. H. Hardin, <a href="/A320367/b320367.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -50*a(n-2) +68*a(n-3) -85*a(n-4) +12*a(n-5) -36*a(n-6) -12*a(n-7) +12*a(n-8) +16*a(n-9)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A320371.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 11 2018

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Last modified August 12 17:30 EDT 2024. Contains 375113 sequences. (Running on oeis4.)