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A296829 Number of nX3 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s. 1

%I

%S 5,14,43,132,402,1230,3755,11475,35054,107091,327180,999540,3053674,

%T 9329255,28501469,87074210,266018951,812707666,2482885810,7585415532,

%U 23174032657,70798497487,216295031546,660798311057,2018791013454

%N Number of nX3 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s.

%C Column 3 of A296834.

%H R. H. Hardin, <a href="/A296829/b296829.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-2) +20*a(n-3) +13*a(n-4) -27*a(n-5) -98*a(n-6) -115*a(n-7) -77*a(n-8) -13*a(n-9) -7*a(n-10) -15*a(n-11) -24*a(n-12) -4*a(n-13) +2*a(n-14) +4*a(n-15)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A296834.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 21 2017

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Last modified January 26 08:31 EST 2021. Contains 340435 sequences. (Running on oeis4.)