A110215 Inequivalent coverings of a cubic board with the minimal number of knights.

1, 1, 1, 8, 37

Offset: 1

Author

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

Keywords

• hard
• more
• nonn

Comments

This sequence is a 3-dimensional analog of A006076.

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

Examples

			a(3) = 1, since up to rotations and reflections,
OOO KKK OOO
OKO OKO OKO
OOO OOO OOO is the only covering for n = 3.
		

Crossrefs

Cf. A006076, A110214, A110218.

A110216 gives total number of solutions.

Formula

a(n) = A110218(n, n, n).