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A279153 Number of nX3 0..1 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. 1
2, 4, 20, 72, 255, 874, 2903, 9336, 29578, 92528, 285992, 875912, 2662819, 8042606, 24156735, 72211820, 214959872, 637526372, 1884571600, 5554575752, 16328272725, 47884030342, 140118979793, 409205295972, 1192876666588, 3471548282192 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A279158.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) -24*a(n-2) +44*a(n-3) -90*a(n-4) +158*a(n-5) -168*a(n-6) +208*a(n-7) -261*a(n-8) +128*a(n-9) -149*a(n-10) +188*a(n-11) -12*a(n-12) +162*a(n-13) -130*a(n-14) -56*a(n-15) -80*a(n-16) +31*a(n-18) +56*a(n-19) +4*a(n-20) -16*a(n-21) -4*a(n-22) for n>23

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A279158.

Sequence in context: A238229 A192377 A286344 * A204550 A009291 A081440

Adjacent sequences:  A279150 A279151 A279152 * A279154 A279155 A279156

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 06 2016

STATUS

approved

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Last modified September 27 21:12 EDT 2021. Contains 347698 sequences. (Running on oeis4.)