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A304052 Number of nX2 0..1 arrays with every element unequal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. 8

%I #4 May 05 2018 15:17:21

%S 1,3,11,10,51,165,306,993,2867,6818,19499,54021,139706,384617,1048819,

%T 2792250,7592483,20586021,55352322,149900145,405599347,1094294546,

%U 2959508123,8001948805,21614029834,58429173497,157940108211,426779942186

%N Number of nX2 0..1 arrays with every element unequal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.

%C Column 2 of A304058.

%H R. H. Hardin, <a href="/A304052/b304052.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +8*a(n-3) -4*a(n-4) -16*a(n-5) for n>6

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304058.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 05 2018

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Last modified April 25 09:28 EDT 2024. Contains 371967 sequences. (Running on oeis4.)