A253334 Number of (n+2)X(n+2) nonnegative integer arrays with all values the knight distance from the upper left minus as much as 3, with successive minimum path knight move differences either 0 or +1, and any unreachable value zero.

69, 2028, 100512, 7184212, 900035309, 198343663311, 98349771149487, 65382647775609882, 75717898362438396460

Offset

1,1

Comments

Diagonal of A253342.

Links

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

Example

Some solutions for n=3
..0..1..1..2..1....0..3..2..2..1....0..1..0..0..1....0..2..2..1..1
..2..3..1..1..1....2..3..1..2..2....1..1..0..0..0....2..2..0..2..2
..1..0..2..2..1....2..1..3..2..2....0..0..1..1..0....1..1..2..2..1
..2..1..2..1..1....2..2..2..1..2....1..0..0..0..1....2..1..2..1..2
..1..1..1..1..2....1..2..1..2..3....0..0..0..1..1....1..1..2..1..2
Knight distance matrix for n=3
..0..3..2..3..2
..3..4..1..2..3
..2..1..4..3..2
..3..2..3..2..3
..2..3..2..3..4

Crossrefs

Sequence in context: A200826 A359105 A133708 * A017785 A017732 A252998

Adjacent sequences: A253331 A253332 A253333 * A253335 A253336 A253337

Keyword

nonn

Author

R. H. Hardin, Dec 30 2014

Status

approved