

A231822


Number of nX2 0..2 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)


1



1, 9, 64, 439, 2992, 20382, 138852, 945923, 6444056, 43899870, 299066137, 2037376372, 13879547189, 94553875250, 644144597665, 4388210021417, 29894510123024, 203655187692590, 1387393046555052, 9451561177738998
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OFFSET

1,2


COMMENTS

Column 2 of A231828


LINKS

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


FORMULA

Empirical: a(n) = 9*a(n1) 16*a(n2) +11*a(n3) 27*a(n4) +21*a(n5) 4*a(n6)


EXAMPLE

Some solutions for n=7
..0..0....0..0....0..0....0..1....0..0....0..0....0..0....0..0....0..0....0..0
..1..0....2..1....1..2....0..1....1..0....2..1....2..1....0..1....2..1....2..2
..2..2....1..2....1..1....0..2....0..2....2..1....1..1....2..1....1..2....2..0
..2..0....1..2....1..1....1..2....2..2....1..0....0..2....1..2....1..1....1..1
..1..0....0..1....2..2....1..0....2..2....2..2....0..1....1..0....2..0....2..2
..2..0....0..2....0..0....2..2....2..2....2..2....1..1....2..1....0..0....0..0
..2..1....1..1....0..1....0..1....2..2....0..1....2..0....0..2....1..2....1..1


CROSSREFS

Sequence in context: A143631 A083328 A000846 * A049684 A037540 A037484
Adjacent sequences: A231819 A231820 A231821 * A231823 A231824 A231825


KEYWORD

nonn


AUTHOR

R. H. Hardin, Nov 14 2013


STATUS

approved



