A096576 Number of solid partitions asymmetric under rotation operation.

0, 1, 3, 8, 19, 46, 101, 226, 486, 1038, 2163, 4471, 9077, 18260, 36258

Offset

1,3

Comments

Equals (A000293-A096575)/3. Rotation has permutation cycle length 1 or 3. Uses function "solidformBTK" from link above.

Links

Table of n, a(n) for n=1..15.

Wouter Meeussen, Solid Partitions Mathematica functions

Example

Solid partition [{{3, 1, 1, 1}, {3}}, {{2, 1}}, {{1}}, {{1}}, {{1}}] rotates into [{{4, 1}, {1, 1}, {1, 1}}, {{2}, {1}}, {{1}}, {{1}}, {{1}}] by rotating each layer as a plane partition.

Mathematica

See A096575.

Crossrefs

Cf. A000293, A094504, A094508, A096272, A096573, A096574, A096575, A096577, A096578, A096579, A096580, A096581.

Sequence in context: A361506 A026789 A308372 * A309537 A126874 A284942

Adjacent sequences: A096573 A096574 A096575 * A096577 A096578 A096579

Keyword

more,nonn

Author

Wouter Meeussen, Jun 27 2004

Status

approved