A279322 - OEIS

A279322

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 one element, and with new values introduced in order 0 sequentially upwards.

0, 0, 2, 4, 14, 40, 120, 352, 1032, 3008, 8736, 25280, 72928, 209792, 601984, 1723392, 4923520, 14039040, 39961088, 113562624, 322244096, 913131520, 2584180736, 7304519680, 20624050176, 58170228736, 163908034560, 461421658112

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OFFSET

1,3

COMMENTS

Column 1 of A279327.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) - 8*a(n-3) - 4*a(n-4) for n>5.

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

EXAMPLE

All solutions for n=4: