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A302065 Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 31 2018 15:42:15

%S 8,81,748,7070,67070,636852,6048836,57457232,545796112,5184660760,

%T 49250608992,467846412016,4444215843808,42216967044320,

%U 401031909830432,3809525073635904,36187846859821376,343759454672598656

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

%C Column 4 of A302069.

%H R. H. Hardin, <a href="/A302065/b302065.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -76*a(n-2) +148*a(n-3) -124*a(n-4) +36*a(n-5) for n>6

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302069.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 31 2018

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)