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 A231636 Number of n X 2 0..2 arrays with no element having a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). 1
 1, 5, 25, 124, 599, 2907, 14098, 68345, 331411, 1606976, 7792087, 37783439, 183209634, 888373029, 4307670407, 20887647824, 101283014043, 491115562211, 2381391364586, 11547230982705, 55991864805211, 271501360719136 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 7*a(n-1) - 11*a(n-2) + 4*a(n-3) - 14*a(n-4) + 48*a(n-5) - 48*a(n-6) + 16*a(n-7). Empirical g.f.: x*(1 - x)^2 / (1 - 7*x + 11*x^2 - 4*x^3 + 14*x^4 - 48*x^5 + 48*x^6 - 16*x^7). - Colin Barker, Sep 29 2018 EXAMPLE Some solutions for n=7: 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 2 0 0 2 1 0 0 1 0 0 0 1 2 2 1 0 1 0 1 2 2 2 1 2 2 1 0 1 1 0 1 2 2 2 1 2 0 0 1 2 0 2 0 1 0 2 0 2 1 0 0 2 2 0 1 1 0 1 0 1 2 0 0 0 2 0 2 2 2 2 2 1 2 0 0 2 1 2 2 0 1 2 2 1 1 1 0 2 2 2 1 1 1 2 2 2 1 1 2 2 1 1 1 1 2 1 0 1 2 0 2 1 1 1 CROSSREFS Column 2 of A231641. Sequence in context: A278282 A086093 A171279 * A099504 A299958 A036156 Adjacent sequences: A231633 A231634 A231635 * A231637 A231638 A231639 KEYWORD nonn AUTHOR R. H. Hardin, Nov 12 2013 STATUS approved

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Last modified May 29 08:30 EDT 2023. Contains 363029 sequences. (Running on oeis4.)