A253005 Number of n X n nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down.

0, 0, 0, 1, 250, 54219, 14697256, 5713126349, 3406380649146, 3235013673306411, 5006915703789559516, 12814921349279258614386, 54759970343589573849950696, 393147238947490609962950665584, 4762079888047633609309896734274288

Offset

1,5

Comments

Diagonal of A253011.

Links

Table of n, a(n) for n=1..15.

Example

Some solutions for n=6:
..0..0..0..0..0..0....0..0..0..0..0..0....0..1..1..1..1..2....0..0..1..1..1..2
..0..0..0..0..0..1....0..0..0..1..1..1....1..1..1..1..1..2....0..0..1..1..1..2
..0..0..1..1..1..1....0..0..0..1..1..1....1..1..1..1..1..2....0..1..1..1..2..2
..0..0..1..1..1..2....0..0..0..1..1..2....1..1..1..1..1..2....1..1..1..2..2..2
..0..0..1..1..1..2....0..0..0..1..1..2....1..1..1..1..1..2....1..1..1..2..2..2
..1..1..1..1..1..2....1..1..1..1..2..2....1..2..2..2..2..2....1..1..1..2..2..2

Crossrefs

Sequence in context: A249214 A249321 A109121 * A267972 A267995 A201547

Adjacent sequences: A253002 A253003 A253004 * A253006 A253007 A253008

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved