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A295776
Number of n X 3 0..1 arrays with each 1 adjacent to 0 or 2 king-move neighboring 1s.
1
5, 19, 56, 198, 665, 2213, 7479, 25105, 84326, 283532, 952661, 3201517, 10759441, 36157455, 121511416, 408352614, 1372308917, 4611790689, 15498404475, 52083999509, 175033735054, 588219141252, 1976771852673, 6643148349849
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) + 3*a(n-2) + 6*a(n-3) - 3*a(n-4) + 2*a(n-5).
Empirical g.f.: x*(5 + 9*x + 3*x^2 - x^3 + 2*x^4) / (1 - 2*x - 3*x^2 - 6*x^3 + 3*x^4 - 2*x^5). - Colin Barker, Feb 22 2019
EXAMPLE
Some solutions for n=7:
..1..1..0. .0..0..0. .1..0..0. .0..0..0. .0..0..1. .1..0..0. .0..0..0
..0..1..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..1. .0..0..0
..0..0..0. .0..0..0. .0..0..1. .0..1..0. .0..1..1. .0..0..0. .0..0..0
..0..1..1. .0..1..1. .1..0..0. .0..0..0. .0..0..1. .0..1..0. .1..0..0
..0..1..0. .0..1..0. .0..0..1. .1..0..1. .1..0..0. .1..0..1. .0..0..0
..0..0..0. .0..0..0. .1..0..0. .0..0..0. .1..1..0. .1..0..1. .0..1..0
..1..0..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..1..0. .0..1..1
CROSSREFS
Column 3 of A295781.
Sequence in context: A032194 A024532 A036421 * A202658 A202118 A327821
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 27 2017
STATUS
approved