A048141 Number of symmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have a threefold axis of symmetry that is the intersection of 3 mirror planes, i.e., C3v symmetry.

1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 3, 2, 0, 4, 4, 0, 4, 5, 0, 5, 7, 1, 6, 9, 1, 6, 11, 1, 8, 15, 2, 10, 20, 3, 10, 25, 4, 12, 33, 7, 14, 40, 9, 15, 48, 12, 18, 60, 17, 20, 74, 23, 22, 89, 30, 26, 108, 40, 30, 130, 51, 33, 157, 66, 37, 187, 85, 42, 222, 108, 47, 262, 136, 54

Offset

1,7

Links

Wouter Meeussen, Table of n, a(n) for n = 1..202

Example

The plane partition {{2,1},{1}} has C3v symmetry.

Crossrefs

Cf. A000219, A000784, A000785, A000786, A005987, A048142, A051056-A051061, A096419.

Sequence in context: A196279 A132798 A080425 * A025664 A025854 A190766

Adjacent sequences: A048138 A048139 A048140 * A048142 A048143 A048144

Keyword

nice,nonn

Author

Wouter Meeussen

Status

approved