A253416 Number of (n+2)X(n+2) nonnegative integer arrays with all values the knight distance from the upper left minus as much as 1, with successive minimum path knight move differences either 0 or +1, and any unreachable value zero.

17, 131, 9985, 316686, 9787192, 118474944, 10608304158, 137343065266, 10377510294334, 104208752940208, 17201597741284536, 188513786701536807, 26630716056607954131, 232536991177649068440, 62398022471626643456428

Offset

1,1

Comments

Diagonal of A253424.

Links

R. H. Hardin, Table of n, a(n) for n = 1..21

Example

Some solutions for n=2
..0..3..1..4....0..3..1..4....0..3..2..4....0..2..2..4....0..3..2..4
..2..3..1..2....2..3..1..2....2..3..1..2....3..3..1..1....2..3..1..2
..2..1..3..2....2..1..3..2....2..1..3..2....1..1..3..2....2..1..3..2
..4..2..2..2....4..2..2..1....4..1..3..1....4..2..2..1....4..2..2..2
Knight distance matrix for n=2
..0..3..2..5
..3..4..1..2
..2..1..4..3
..5..2..3..2

Crossrefs

Sequence in context: A158959 A355052 A259418 * A275483 A125354 A126512

Adjacent sequences: A253413 A253414 A253415 * A253417 A253418 A253419

Keyword

nonn

Author

R. H. Hardin, Dec 31 2014

Status

approved