A231851 Number of nX4 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)

8, 144, 7339, 360966, 17726611, 870478586, 42745416641, 2099041399895, 103074789422478, 5061554394805698, 248550911791818706, 12205253749015192168, 599346902427518296059, 29431318417158665841585

Offset

1,1

Comments

Column 4 of A231855

Links

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

Formula

Empirical: a(n) = 62*a(n-1) -697*a(n-2) +3287*a(n-3) -7718*a(n-4) +9336*a(n-5) -5629*a(n-6) +1612*a(n-7) -184*a(n-8) +4*a(n-9) for n>10

Example

Some solutions for n=3
..0..0..2..1....0..0..2..2....0..2..2..1....0..0..2..1....0..0..2..1
..2..2..1..2....1..1..0..0....2..1..1..1....1..1..1..1....1..2..1..1
..0..1..2..2....0..0..0..0....0..0..0..0....1..2..0..0....2..0..2..2

Crossrefs

Sequence in context: A024284 A024285 A111687 * A071305 A172150 A105046

Adjacent sequences: A231848 A231849 A231850 * A231852 A231853 A231854

Keyword

nonn

Author

R. H. Hardin, Nov 14 2013

Status

approved