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

1,3

Comments

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) - A096573(n))/2.

Example

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.

Crossrefs

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

Sequence in context: A133654 A193695 A226845 * A045650 A191342 A077847

Adjacent sequences: A096571 A096572 A096573 * A096575 A096576 A096577

Keyword

nonn,more

Author

Wouter Meeussen, Jun 27 2004

Status

approved