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A279300 Number of n X 1 0..2 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 4
0, 1, 0, 3, 6, 24, 72, 232, 720, 2232, 6848, 20880, 63264, 190656, 571776, 1707264, 5077504, 15046272, 44439552, 130854656, 384228864, 1125285888, 3287672832, 9583835136, 27879174144, 80941029376, 234562535424, 678574706688 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Column 1 of A279305.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) - 6*a(n-2) - 16*a(n-3) + 12*a(n-4) + 24*a(n-5) + 8*a(n-6) for n>8.

Empirical g.f.: x^2*(1 - 2*x - x^2)*(1 - 4*x + 2*x^2 + 4*x^3 + 4*x^4) / (1 - 2*x - 2*x^2)^3. - Colin Barker, Feb 21 2018

EXAMPLE

All solutions for n=4:

..0. .0. .0

..0. .1. .0

..1. .1. .0

..1. .1. .1

CROSSREFS

Cf. A279305.

Sequence in context: A148654 A148655 A148656 * A054718 A132390 A327643

Adjacent sequences:  A279297 A279298 A279299 * A279301 A279302 A279303

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 09 2016

STATUS

approved

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Last modified January 17 14:57 EST 2020. Contains 330958 sequences. (Running on oeis4.)