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Number of partitions of n such that (number of distinct parts) = multiplicity of the least part.
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%I #6 Apr 04 2014 13:29:50

%S 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,

%T 214,247,308,365,459,523,642,774,922,1094,1304,1556,1830,2191,2573,

%U 3039,3570,4242,4911,5859,6756,8000,9244,10916,12581,14780,17048,19894

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

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

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

%Y Cf. A239960.

%K nonn,easy

%O 0,5

%A _Clark Kimberling_, Mar 30 2014