A268088 Number of nX3 0..2 arrays with every repeated value in every row not one larger and in every column one larger mod 3 than the previous repeated value, and upper left element zero.

9, 243, 4608, 83349, 1339893, 20699712, 303284403, 4320438183, 59802048000, 811951057125, 10831783903677, 142591596848064, 1855468989421875, 23920516469271231, 305928653301448704, 3886833181740400197

Offset

1,1

Comments

Column 3 of A268092.

Links

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

Formula

Empirical: a(n) = 27*a(n-1) -88*a(n-2) -2949*a(n-3) +19763*a(n-4) +105684*a(n-5) -917208*a(n-6) -1283256*a(n-7) +14673312*a(n-8) +279936*a(n-9) -60466176*a(n-10)

Example

Some solutions for n=4
..0..1..1....0..1..0....0..1..1....0..2..2....0..0..0....0..2..2....0..0..1
..1..0..2....2..0..1....2..2..1....0..2..2....0..2..0....1..2..2....0..0..2
..0..2..1....1..0..1....1..0..2....1..0..0....1..2..2....1..1..0....1..1..1
..0..1..1....0..2..0....1..1..2....1..2..1....2..1..0....2..2..1....2..0..0

Crossrefs

Cf. A268092.

Sequence in context: A251670 A075127 A267416 * A285511 A013733 A369533

Adjacent sequences: A268085 A268086 A268087 * A268089 A268090 A268091

Keyword

nonn

Author

R. H. Hardin, Jan 26 2016

Status

approved