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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) 1
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: A178827 A190984 A001716 * A028991 A249396 A102094

Adjacent sequences:  A231907 A231908 A231909 * A231911 A231912 A231913

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 15 2013

STATUS

approved

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Last modified October 25 20:31 EDT 2021. Contains 348256 sequences. (Running on oeis4.)