A207793 Number of (n+1) X 3 0..3 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases.

2208, 37408, 643968, 11074704, 190505040, 3276916896, 56368726448, 969636795792, 16679397182912, 286913899633552, 4935405551063120, 84897343122802464, 1460378241835515568, 25120981773756588368

Offset

1,1

Comments

Column 2 of A207799.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +121*a(n-2) +356*a(n-3) +96*a(n-4) -3604*a(n-5) -18396*a(n-6) -28488*a(n-7) +1440*a(n-8) +10656*a(n-9) +3456*a(n-10).

Example

Some solutions for n=4:
..1..1..3....2..1..0....1..0..3....3..2..1....3..0..1....2..1..1....2..1..0
..3..0..1....1..1..2....2..2..1....1..1..0....0..0..2....0..0..0....3..2..2
..0..2..1....2..3..1....2..2..3....3..3..3....1..2..1....1..1..2....0..2..3
..1..1..1....0..2..1....3..0..1....0..1..2....3..0..0....2..3..0....3..0..3
..0..0..2....0..1..2....0..2..2....1..0..3....3..1..1....1..2..2....2..0..3

Crossrefs

Sequence in context: A037210 A114360 A023319 * A232074 A278207 A216408

Adjacent sequences: A207790 A207791 A207792 * A207794 A207795 A207796

Keyword

nonn

Author

R. H. Hardin, Feb 20 2012

Status

approved