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A231904 Number of nX3 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, 137, 1740, 22759, 297099, 3882566, 50739125, 663117735, 8666487550, 113265373685, 1480306533273, 19346672704504, 252848831479961, 3304575115257435, 43188717562121576, 564449365837980499 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A231908

LINKS

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

FORMULA

Empirical: a(n) = 21*a(n-1) -112*a(n-2) +73*a(n-3) +431*a(n-4) +780*a(n-5) -2741*a(n-6) -5903*a(n-7) +14367*a(n-8) -2036*a(n-9) -35426*a(n-10) +78448*a(n-11) -24360*a(n-12) -25944*a(n-13) +50016*a(n-14) -2848*a(n-15) -52992*a(n-16) +7808*a(n-17) for n>18

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A193136 A037120 A082923 * A049677 A030247 A139956

Adjacent sequences:  A231901 A231902 A231903 * A231905 A231906 A231907

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 15 2013

STATUS

approved

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Last modified May 23 05:03 EDT 2019. Contains 323508 sequences. (Running on oeis4.)