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A241090 Number of partitions p of n such that (number of numbers in p having multiplicity > 1) = number of 1s in p. 3
1, 0, 1, 1, 1, 3, 3, 5, 6, 10, 12, 16, 21, 29, 36, 47, 58, 77, 93, 121, 146, 185, 225, 280, 338, 419, 505, 612, 743, 888, 1075, 1283, 1539, 1822, 2190, 2575, 3073, 3612, 4287, 5022, 5936, 6938, 8158, 9527, 11151, 12983, 15156, 17617, 20468, 23770, 27531 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..50.

EXAMPLE

a(6) counts these 3 partitions:  6, 42, 2211.

MATHEMATICA

z = 30; f[n_] := f[n] = IntegerPartitions[n]; e[p_] := Length[DeleteDuplicates[Select[p, Count[p, #] > 1 &]]]; Table[Count[f[n], p_ /; e[p] == Count[p, 1]], {n, 0, z}]

CROSSREFS

Cf. A241409, A241131.

Sequence in context: A187679 A048274 A059892 * A091607 A276434 A183561

Adjacent sequences:  A241087 A241088 A241089 * A241091 A241092 A241093

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 24 2014

STATUS

approved

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Last modified March 26 16:33 EDT 2019. Contains 321510 sequences. (Running on oeis4.)