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A304474 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero. 1

%I #4 May 13 2018 10:45:45

%S 4,12,19,37,94,202,428,965,2134,4692,10385,22939,50685,112126,247801,

%T 547629,1210890,2677120,5917928,13083023,28924080,63944514,141366373,

%U 312528443,690930487,1527496422,3376954419,7465688699,16504985560

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.

%C Column 3 of A304479.

%H R. H. Hardin, <a href="/A304474/b304474.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +6*a(n-3) +8*a(n-4) +5*a(n-5) -6*a(n-6) -22*a(n-7) -25*a(n-8) -14*a(n-9) +2*a(n-10) +7*a(n-11) +3*a(n-12) for n>13

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304479.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 13 2018

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)