A239962 Number of partitions of n such that (number of distinct parts) = multiplicity of the least part.

1, 1, 1, 1, 2, 2, 3, 3, 6, 4, 10, 9, 12, 16, 23, 21, 34, 42, 45, 64, 76, 92, 113, 144, 166, 214, 247, 308, 365, 459, 523, 642, 774, 922, 1094, 1304, 1556, 1830, 2191, 2573, 3039, 3570, 4242, 4911, 5859, 6756, 8000, 9244, 10916, 12581, 14780, 17048, 19894

Offset: 0

Author

Clark Kimberling, Mar 30 2014

Keywords

• nonn
• easy

Examples

			a(8) counts these 6 partitions:  611, 44, 422, 3311, 32111, 2222.
		

Crossrefs

Cf. A239960.

Programs

Mathematica

z = 54; d[p_] := d[p] = Length[DeleteDuplicates[p]]; Table[Count[IntegerPartitions[n], p_ /; d[p] == Count[p, Min[p]]], {n, 0, z}]