A110216 Total number of coverings of a cubic board with the minimal number of knights.

1, 1, 12, 156, 888

Offset

1,3

Links

Table of n, a(n) for n=1..5.

Formula

Sequence A110214 gives minimal number of knights needed to cover an n X n X n board. This sequence gives total number of solutions using A110214(n) knights.

Example

a(3) = 12, since reflections or rotations of
OOO KKK OOO
OKO OKO OKO
OOO OOO OOO generate twelve different coverings.

Crossrefs

This sequence is a 3-dimensional analog of A103315. a(n) = A110219(n, n, n). A102215 gives the number of inequivalent solutions.

Sequence in context: A005723 A097259 A158546 * A218839 A036276 A003130

Adjacent sequences: A110213 A110214 A110215 * A110217 A110218 A110219

Keyword

hard,nonn

Author

Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Jul 17 2005

Status

approved