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A303103 Number of 3Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 18 2018 12:39:49

%S 0,11,77,431,2913,19393,128921,857789,5706297,37961366,252538085,

%T 1680012401,11176296913,74350419884,494616846377,3290443118074,

%U 21889703025083,145621450295042,968748034460686,6444605189965405

%N Number of 3Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A303102.

%H R. H. Hardin, <a href="/A303103/b303103.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +11*a(n-2) +a(n-4) -8*a(n-5) -a(n-6) -20*a(n-7) -2*a(n-8) -13*a(n-9) +3*a(n-10) -6*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..1..1. .0..0..1..1..0. .0..0..1..1..1. .0..0..1..0..0

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

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

%Y Cf. A303102.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 18 2018

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Last modified April 15 17:30 EDT 2024. Contains 371693 sequences. (Running on oeis4.)