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

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, Mma functions for plane and solid partitions

Formula

a(n) = (A000293(n) - A096575(n))/3.

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

nonn,more

Author

Wouter Meeussen, Jun 27 2004

Status

approved