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A302626 Number of 5 X n 0..1 arrays with every element equal to 0, 1, 2 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #6 Mar 27 2023 15:36:10

%S 16,264,191,367,896,2229,5771,15303,41564,113363,311300,857459,

%T 2365370,6530166,18041149,49856672,137802753,380929869,1053080101,

%U 2911331321,8048818764,22252483582,61521632425,170090126143,470252976010

%N Number of 5 X n 0..1 arrays with every element equal to 0, 1, 2 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 5 of A302623.

%H R. H. Hardin, <a href="/A302626/b302626.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -2*a(n-2) -2*a(n-3) -8*a(n-4) +23*a(n-6) -a(n-7) -11*a(n-8) -16*a(n-9) +17*a(n-10) +2*a(n-11) -5*a(n-12) -5*a(n-13) +3*a(n-14) +3*a(n-15) -a(n-16) for n>21.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302623.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 10 2018

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Last modified August 11 10:58 EDT 2024. Contains 375068 sequences. (Running on oeis4.)