|
|
A110215
|
|
Inequivalent coverings of a cubic board with the minimal number of knights.
|
|
2
|
|
|
|
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
|
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
|
|
|
|