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A302310 Number of 2Xn 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 4

%I #4 Apr 05 2018 09:39:22

%S 2,3,11,21,31,113,363,813,1751,5001,14051,34053,82063,218273,579291,

%T 1452381,3638471,9447993,24526163,62318133,158325631,407598161,

%U 1049289291,2679681933,6843284663,17562012393,45069368771,115317418341

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

%C Row 2 of A302309.

%H R. H. Hardin, <a href="/A302310/b302310.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +4*a(n-3) +12*a(n-4) -16*a(n-5) for n>6

%e Some solutions for n=5

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

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

%Y Cf. A302309.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 05 2018

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)