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

Author

Wouter Meeussen

Keywords

• nice
• nonn

Examples

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

Links

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

Crossrefs

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