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A305178 Number of nX4 0..1 arrays with every element unequal to 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1

%I #4 May 26 2018 18:36:36

%S 2,1,9,10,13,47,71,118,241,453,870,1608,3110,6075,11491,22105,42831,

%T 82321,158514,305836,589983,1137829,2194384,4234349,8170446,15762684,

%U 30415495,58692610,113253536,218539740,421716458,813790085,1570376360

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A305182.

%H R. H. Hardin, <a href="/A305178/b305178.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) -2*a(n-5) -5*a(n-6) -3*a(n-7) -2*a(n-9) +a(n-10) +2*a(n-11) for n>18

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305182.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 26 2018

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Last modified April 23 13:11 EDT 2024. Contains 371913 sequences. (Running on oeis4.)