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A302677 Number of nX5 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 11 2018 12:26:20

%S 8,7,18,30,63,125,257,528,1085,2228,4576,9401,19311,39665,81476,

%T 167363,343782,706162,1450533,2979557,6120333,12571820,25823881,

%U 53045060,108960300,223816249,459742831,944361613,1939821080,3984602671

%N Number of nX5 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A302680.

%H R. H. Hardin, <a href="/A302677/b302677.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302680.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 11 2018

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Last modified August 5 02:37 EDT 2024. Contains 374935 sequences. (Running on oeis4.)