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A231637 Number of nX3 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
3, 25, 362, 5110, 69671, 953726, 13036446, 178192422, 2435768976, 33294651915, 455108952124, 6220940586463, 85034818039884, 1162351701934606, 15888332641640874, 217179633334137617, 2968655946926989630 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A231641

LINKS

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

FORMULA

Empirical: a(n) = 21*a(n-1) -107*a(n-2) +63*a(n-3) +327*a(n-4) +1807*a(n-5) -11022*a(n-6) +22286*a(n-7) -29911*a(n-8) +38148*a(n-9) -14430*a(n-10) -114794*a(n-11) +310088*a(n-12) -391497*a(n-13) +122088*a(n-14) +685315*a(n-15) -1613102*a(n-16) +1227640*a(n-17) +817156*a(n-18) -2507835*a(n-19) +2085116*a(n-20) +424904*a(n-21) -3237743*a(n-22) +2923285*a(n-23) -121269*a(n-24) -692469*a(n-25) -329220*a(n-26) +486184*a(n-27) +200957*a(n-28) -63170*a(n-29) -17085*a(n-30) -56817*a(n-31) -12152*a(n-32) +25012*a(n-33) +9826*a(n-34) -5584*a(n-35) -844*a(n-36) +436*a(n-37) +8*a(n-38) for n>39

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Sequence in context: A161629 A129506 A143139 * A295765 A012481 A132617

Adjacent sequences:  A231634 A231635 A231636 * A231638 A231639 A231640

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 12 2013

STATUS

approved

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Last modified January 25 07:44 EST 2020. Contains 331241 sequences. (Running on oeis4.)