

A295776


Number of n X 3 0..1 arrays with each 1 adjacent to 0 or 2 kingmove 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
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OFFSET

1,1


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210


FORMULA

Empirical: a(n) = 2*a(n1) + 3*a(n2) + 6*a(n3)  3*a(n4) + 2*a(n5).
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
Adjacent sequences: A295773 A295774 A295775 * A295777 A295778 A295779


KEYWORD

nonn


AUTHOR

R. H. Hardin, Nov 27 2017


STATUS

approved



