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A231296 Number of (n+1) X (2+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order. 1
2, 5, 16, 51, 174, 617, 2223, 8051, 29220, 106109, 385468, 1400401, 5088037, 18486201, 67166528, 244037407, 886670130, 3221565113, 11705027203, 42528259303, 154519400012, 561420537017, 2039828499536, 7411378111905 (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) = 4*a(n-1) + 2*a(n-2) - 16*a(n-3) + 16*a(n-4) - 6*a(n-5) - 3*a(n-6) + 4*a(n-8) for n>9.

Empirical g.f.: x*(2 - 3*x - 8*x^2 + 9*x^3 - 14*x^4 + 7*x^5 + 3*x^6 + 4*x^7 + 4*x^8) / ((1 - x)*(1 - x + x^2)*(1 - 2*x - 8*x^2 + 5*x^3 + 8*x^4 + 4*x^5)). - Colin Barker, Sep 28 2018

EXAMPLE

Some solutions for n=4:

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

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

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

..0..0..1....1..2..2....1..1..2....1..1..1....1..0..0....1..1..0....0..0..2

..0..1..1....2..2..2....1..2..2....1..1..1....0..0..0....1..1..0....0..2..2

CROSSREFS

Column 2 of A231302.

Sequence in context: A148387 A121651 A054660 * A148388 A148389 A108529

Adjacent sequences:  A231293 A231294 A231295 * A231297 A231298 A231299

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 07 2013

STATUS

approved

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Last modified March 26 14:18 EDT 2019. Contains 321497 sequences. (Running on oeis4.)