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A279736 Number of n X 3 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
2, 6, 35, 168, 766, 3402, 14827, 63680, 270313, 1136546, 4740986, 19644984, 80939021, 331835984, 1354628539, 5508982340, 22328647462, 90229615030, 363633214831, 1461903606752, 5864244756909, 23476219277174, 93808204087890 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 10*a(n-1) - 35*a(n-2) + 54*a(n-3) - 45*a(n-4) + 20*a(n-5) - 4*a(n-6) for n>7.

Empirical g.f.: x*(1 - x)*(1 - 2*x)*(2 - 8*x + 17*x^2 - 13*x^3 + 4*x^4) / (1 - 5*x + 5*x^2 - 2*x^3)^2. - Colin Barker, Feb 11 2019

EXAMPLE

Some solutions for n=4:

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

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

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

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

CROSSREFS

Column 3 of A279741.

Sequence in context: A101262 A135965 A018983 * A081003 A038181 A305275

Adjacent sequences:  A279733 A279734 A279735 * A279737 A279738 A279739

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 18 2016

STATUS

approved

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Last modified November 17 23:26 EST 2019. Contains 329242 sequences. (Running on oeis4.)