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A231192 Number of (n+1) X (1+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order. 1
9, 67, 538, 4264, 33868, 268936, 2135636, 16959144, 134673104, 1069443392, 8492483984, 67439085424, 535535922336, 4252707792768, 33770887846016, 268175694518400, 2129591719896640, 16911155582525312, 134292024365242368 (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) = 8*a(n-1) - 4*a(n-3) + 4*a(n-4) - 12*a(n-5) - 16*a(n-6).

Empirical g.f.: x*(9 - 5*x + 2*x^2 - 4*x^3 - 12*x^4 - 16*x^5) / (1 - 8*x + 4*x^3 - 4*x^4 + 12*x^5 + 16*x^6). - Colin Barker, Sep 27 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

CROSSREFS

Column 1 of A231199.

Sequence in context: A287817 A155592 A002051 * A133120 A194650 A048742

Adjacent sequences:  A231189 A231190 A231191 * A231193 A231194 A231195

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 05 2013

STATUS

approved

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Last modified December 3 02:46 EST 2021. Contains 349445 sequences. (Running on oeis4.)