A096574 Number of asymmetric solid partitions under mirroring operation.

0, 1, 3, 9, 23, 58, 134, 308, 677, 1470, 3106, 6479, 13260, 26827, 53516

Offset: 1

Author

Wouter Meeussen, Jun 27 2004

Keywords

• nonn
• more

Comments

Uses function "solidformBTK" from link above.

Examples

			Solid partition [{{3, 1, 1, 1}, {3}}, {{2, 1}}, {{1}}, {{1}}, {{1}}] mirrors into [{{3, 3}, {1}, {1}, {1}}, {{2}, {1}}, {{1}}, {{1}}, {{1}}] by mirroring each layer as a plane partition.
		

Links

• Wouter Meeussen, Mma functions for plane and solid partitions

Crossrefs

Cf. A000293, A094504, A094508, A096272, A096573, A096575, A096576, A096577, A096578, A096579, A096580, A096581.

Formula

a(n) = (A000293(n) - A096573(n))/2.