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A231909 Number of 2 X n 0..2 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). 1
3, 17, 137, 948, 6975, 50323, 366170, 2657785, 19313547, 140303704, 1019402743, 7406378807, 53811580170, 390970164997, 2840618194879, 20638678936360, 149951606887643, 1089482683574507, 7915704422510418, 57512044237312433 (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) = 9*a(n-1) - 5*a(n-2) - 66*a(n-3) + 78*a(n-4) + 4*a(n-5) - 16*a(n-6).

Empirical g.f.: x*(3 - 10*x - x^2 - 2*x^3 + 16*x^4 - 8*x^5) / (1 - 9*x + 5*x^2 + 66*x^3 - 78*x^4 - 4*x^5 + 16*x^6). - Colin Barker, Oct 01 2018

EXAMPLE

Some solutions for n=7:

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

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

CROSSREFS

Row 2 of A231908.

Sequence in context: A199138 A006290 A060003 * A331688 A286896 A244432

Adjacent sequences:  A231906 A231907 A231908 * A231910 A231911 A231912

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 15 2013

STATUS

approved

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Last modified October 21 04:00 EDT 2021. Contains 348141 sequences. (Running on oeis4.)