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A110215 Inequivalent coverings of a cubic board with the minimal number of knights. 2
1, 1, 1, 8, 37 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

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.

LINKS

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

FORMULA

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

EXAMPLE

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.

Sequence in context: A276175 A050536 A261846 * A281465 A302619 A302411

Adjacent sequences:  A110212 A110213 A110214 * A110216 A110217 A110218

KEYWORD

hard,more,nonn

AUTHOR

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

STATUS

approved

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Last modified May 11 21:35 EDT 2021. Contains 343808 sequences. (Running on oeis4.)