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A231856
Number of 2 X n 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions).
1
3, 8, 34, 144, 612, 2613, 11159, 47675, 203696, 870316, 3718550, 15888022, 67883780, 290042861, 1239248291, 5294859950, 22623022401, 96659996189, 412993219856, 1764570725956, 7539372796546, 32213014377497, 137634565007885
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) - 2*a(n-2) - 5*a(n-3) - a(n-4) + 10*a(n-5) - 3*a(n-6) - 3*a(n-7) + a(n-8) for n>9.
Empirical g.f.: x*(3 - 7*x + 5*x^3 + 3*x^4 - 11*x^5 + x^6 + 3*x^7 - x^8) / ((1 + x - x^3)*(1 - 6*x + 8*x^2 - 2*x^3 - 3*x^4 + x^5)). - Colin Barker, Oct 01 2018
EXAMPLE
Some solutions for n=7:
..0..0..0..2..2..2..2....0..2..2..2..2..0..2....0..2..2..1..1..2..2
..1..1..2..2..2..0..1....2..2..2..2..1..1..1....1..1..1..1..0..0..0
CROSSREFS
Row 2 of A231855.
Sequence in context: A339315 A322303 A117722 * A024419 A303870 A186517
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 14 2013
STATUS
approved