

A279152


Number of n X 2 0..1 arrays with no element equal to a strict majority of its kingmove neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.


1



0, 0, 4, 12, 30, 72, 162, 356, 766, 1616, 3378, 7004, 14406, 29480, 60090, 122036, 247150, 499456, 1007458, 2029068, 4081686, 8202456, 16469642, 33046628, 66271166, 132836784, 266160818, 533127612, 1067587174, 2137374088, 4278378970
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OFFSET

1,3


LINKS

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


FORMULA

Empirical: a(n) = 4*a(n1)  5*a(n2) + 6*a(n3)  12*a(n4) + 8*a(n5)  4*a(n6) + 8*a(n7).
Empirical g.f.: 2*x^3*(2  2*x + x^2  6*x^3) / ((1  2*x)*(1  x  2*x^3)^2).  Colin Barker, Feb 10 2019


EXAMPLE

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


CROSSREFS

Column 2 of A279158.
Sequence in context: A068055 A221855 A258457 * A317780 A274217 A162740
Adjacent sequences: A279149 A279150 A279151 * A279153 A279154 A279155


KEYWORD

nonn


AUTHOR

R. H. Hardin, Dec 06 2016


STATUS

approved



