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A279162 Number of n X 2 0..1 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. 1
1, 0, 0, 8, 24, 88, 284, 772, 2000, 5008, 12060, 28300, 65192, 147736, 330340, 730740, 1601744, 3483616, 7526252, 16167132, 34555192, 73534440, 155880628, 329312132, 693584736, 1456820784, 3052436156, 6381514348, 13314563144, 27728987832 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) - 19*a(n-2) + 31*a(n-3) - 52*a(n-4) + 82*a(n-5) - 84*a(n-6) + 84*a(n-7) - 96*a(n-8) + 56*a(n-9) - 32*a(n-10) + 32*a(n-11).

Empirical g.f.: x*(1 - 7*x + 19*x^2 - 23*x^3 + 20*x^4 - 10*x^5 - 40*x^6 + 44*x^7 - 48*x^8 + 96*x^9) / ((1 - 2*x)^2*(1 - x - 2*x^3)^3). - Colin Barker, Feb 10 2019

EXAMPLE

All solutions for n=4:

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

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

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

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

CROSSREFS

Column 2 of A279168.

Sequence in context: A297808 A097544 A128688 * A217016 A019260 A019221

Adjacent sequences:  A279159 A279160 A279161 * A279163 A279164 A279165

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 07 2016

STATUS

approved

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Last modified June 18 10:09 EDT 2021. Contains 345098 sequences. (Running on oeis4.)