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A279129 Number of nX3 0..1 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1
0, 9, 66, 256, 820, 2551, 7491, 21131, 57971, 155551, 409876, 1064002, 2727560, 6917391, 17381168, 43320628, 107203164, 263611545, 644549767, 1567944409, 3796630655, 9154650571, 21989697066, 52634342562, 125577952504, 298716701553 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A279134.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -11*a(n-2) +5*a(n-3) +a(n-5) +9*a(n-6) -6*a(n-7) +3*a(n-8) -5*a(n-9) -a(n-11) for n>17

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A279134.

Sequence in context: A152581 A122733 A118465 * A051375 A081902 A002695

Adjacent sequences:  A279126 A279127 A279128 * A279130 A279131 A279132

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 06 2016

STATUS

approved

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Last modified July 25 16:03 EDT 2021. Contains 346291 sequences. (Running on oeis4.)