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A183720 1/12 the number of (n+1) X (n+1) 0..5 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction. 0
0, 2, 124, 14886, 3723606, 2740758406, 5585215240568, 33429749952933774, 583208471844467888006 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Diagonal of A183729.

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

Some solutions with the first block increasing clockwise for 3 X 3:

..5..0..1....1..2..3....4..5..4....2..3..2....0..1..2....5..0..5....3..4..3

..4..3..2....0..5..4....3..0..3....1..4..1....5..4..3....4..1..4....2..5..2

..5..0..1....1..2..3....2..1..2....0..5..0....0..1..2....3..2..3....1..0..1

...

...R..R.......R..R.......R..L.......R..L.......R..R.......R..L.......R..L...

...L..L.......L..L.......R..L.......R..L.......L..L.......R..L.......R..L...

CROSSREFS

Sequence in context: A088055 A065705 A012870 * A042921 A123006 A028481

Adjacent sequences: A183717 A183718 A183719 * A183721 A183722 A183723

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 06 2011

STATUS

approved

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Last modified November 29 15:30 EST 2022. Contains 358431 sequences. (Running on oeis4.)