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A302517 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 09 2018 09:11:26

%S 8,6,9,28,36,80,235,541,1115,2554,6095,13920,31216,71431,164589,

%T 375943,856294,1957963,4481840,10241792,23394379,53477141,122262891,

%U 279435298,638618663,1459697640,3336520448,7626024455,17430072821,39839300103

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

%C Row 4 of A302515.

%H R. H. Hardin, <a href="/A302517/b302517.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +5*a(n-4) -a(n-5) -5*a(n-6) -4*a(n-7) for n>10

%e Some solutions for n=5

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

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

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

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

%Y Cf. A302515.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2018

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)