A231910 - OEIS

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A231910

Number of 3Xn 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)

9, 74, 1740, 31167, 614818, 11900005, 232002949, 4514456816, 87921502956, 1712027812433, 33339878588595, 649247937999815, 12643318523771247, 246213016602719670, 4794699013265077280, 93370921217915873674

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 3 of A231908

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 25*a(n-1) -74*a(n-2) -852*a(n-3) +4181*a(n-4) -7225*a(n-5) +7538*a(n-6) +128074*a(n-7) -575187*a(n-8) +474991*a(n-9) +1290498*a(n-10) -5643395*a(n-11) +11235081*a(n-12) -6876205*a(n-13) -13812844*a(n-14) +44285324*a(n-15) -61998106*a(n-16) +30746044*a(n-17) +32934284*a(n-18) -85982375*a(n-19) +89888553*a(n-20) +25323577*a(n-21) -123867238*a(n-22) +3745228*a(n-23) +100101799*a(n-24) -19008471*a(n-25) -4298843*a(n-26) -46455630*a(n-27) +34645416*a(n-28) -8451931*a(n-29) +2428296*a(n-30) +1766396*a(n-31) -1604198*a(n-32) +204663*a(n-33) -25395*a(n-34) +7366*a(n-35) +1736*a(n-36) +144*a(n-37) for n>38

EXAMPLE

Some solutions for n=4

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

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

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

CROSSREFS

Sequence in context: A190984 A001716 A372843 * A028991 A249396 A102094

Adjacent sequences: A231907 A231908 A231909 * A231911 A231912 A231913

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 15 2013

STATUS

approved