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)

3, 137, 1740, 22759, 297099, 3882566, 50739125, 663117735, 8666487550, 113265373685, 1480306533273, 19346672704504, 252848831479961, 3304575115257435, 43188717562121576, 564449365837980499

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: A037120 A082923 A336202 * A049677 A030247 A139956

Adjacent sequences: A231901 A231902 A231903 * A231905 A231906 A231907

Keyword

nonn

Author

R. H. Hardin, Nov 15 2013

Status

approved