

A282522


Number of nX2 0..1 arrays with no 1 equal to more than two of its kingmove neighbors.


1



4, 15, 43, 144, 473, 1529, 5004, 16335, 53283, 173960, 567801, 1853249, 6049204, 19744783, 64447643, 210360128, 686623961, 2241169033, 7315270172, 23877346447, 77936655891, 254388502200, 830334694009, 2710247124433, 8846359824580
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OFFSET

1,1


COMMENTS

Column 2 of A282528.


LINKS

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


FORMULA

Empirical: a(n) = 3*a(n1) +a(n2) +2*a(n3) 8*a(n4).
Empirical: G.f.: x*(43*x+6*x^2+8*x^3)/(13*xx^22*x^3+8*x^4) .  R. J. Mathar, Feb 28 2017


EXAMPLE

Some solutions for n=4
..1..1. .1..0. .1..0. .1..1. .0..1. .0..1. .1..1. .0..1. .0..0. .0..0
..1..0. .1..1. .0..1. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .1..0
..0..0. .0..0. .0..1. .0..0. .0..0. .0..1. .0..1. .1..0. .1..0. .0..0
..1..0. .1..0. .0..1. .0..1. .0..0. .0..1. .0..1. .1..0. .0..1. .0..0


CROSSREFS

Cf. A282528.
Sequence in context: A213498 A294259 A240359 * A329523 A331317 A259664
Adjacent sequences: A282519 A282520 A282521 * A282523 A282524 A282525


KEYWORD

nonn


AUTHOR

R. H. Hardin, Feb 17 2017


STATUS

approved



