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A305037 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 6 or 7 king-move adjacent elements, with upper left element zero. 1

%I #4 May 24 2018 08:41:59

%S 16,8,13,26,43,109,319,718,1632,4351,10773,25199,62720,157051,379668,

%T 927104,2297777,5633013,13757409,33842016,83191131,203775710,

%U 499991378,1228342299,3013570173,7392226135,18147245684,44540437375,109282630804

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 5 of A305040.

%H R. H. Hardin, <a href="/A305037/b305037.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +9*a(n-3) +2*a(n-4) -14*a(n-6) -4*a(n-7) for n>11

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305040.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 24 2018

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)