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

Author

Wouter Meeussen, Jun 27 2004

Keywords

• nonn
• more

Comments

Rotation has permutation cycle length 1 or 3. Uses function "solidformBTK" from link above.

Examples

			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.
		

Links

• Wouter Meeussen, Mma functions for plane and solid partitions

Crossrefs

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

Programs

Mathematica

(* See A096575. *)

Formula

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