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A279742 Number of 2 X n 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1
0, 2, 6, 14, 26, 48, 84, 146, 250, 426, 722, 1220, 2056, 3458, 5806, 9734, 16298, 27256, 45532, 75986, 126690, 211042, 351266, 584204, 970896, 1612418, 2676054, 4438526, 7357370, 12188736, 20181732, 33398930, 55244746, 91336218, 150937586 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

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

Empirical g.f.: 2*x^2*(1 - x^2 - 2*x^3) / ((1 - x)*(1 - x - x^2)^2). - Colin Barker, Feb 11 2019

EXAMPLE

Some solutions for n=4:

..0..0..1..0. .0..1..0..0. .0..1..1..0. .0..1..1..0. .0..1..1..0

..1..0..1..0. .1..0..1..0. .0..0..1..1. .0..1..0..1. .1..0..1..0

CROSSREFS

Row 2 of A279741.

Sequence in context: A162716 A138318 A212964 * A068042 A068041 A182155

Adjacent sequences:  A279739 A279740 A279741 * A279743 A279744 A279745

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 18 2016

STATUS

approved

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Last modified June 18 06:56 EDT 2019. Contains 324203 sequences. (Running on oeis4.)