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A279152 Number of n X 2 0..1 arrays with no element equal to a strict majority of its king-move 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) - 5*a(n-2) + 6*a(n-3) - 12*a(n-4) + 8*a(n-5) - 4*a(n-6) + 8*a(n-7).

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

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Last modified September 22 05:00 EDT 2021. Contains 347605 sequences. (Running on oeis4.)