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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
OFFSET
1,1
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 05 2013
STATUS
approved