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A240541 Number of partitions n such that the multiplicity of the number of odd parts is a part. 2
0, 1, 0, 1, 1, 3, 2, 4, 4, 11, 9, 16, 15, 30, 29, 48, 49, 81, 82, 125, 136, 203, 220, 306, 344, 476, 537, 710, 822, 1068, 1240, 1565, 1851, 2305, 2733, 3323, 3989, 4796, 5775, 6826, 8287, 9694, 11787, 13611, 16659, 19070, 23363, 26463, 32554, 36616, 45080 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

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

EXAMPLE

a(7) counts these 4 partitions:  61, 421, 3211, 2221; e.g., 3211 has 3 odd parts, and the multiplicity of 3 is 1, which is a part of 3211.

MATHEMATICA

z = 60; f[n_] := f[n] = IntegerPartitions[n];

Table[Count[f[n], p_ /; MemberQ[p, Count[p, Count[Mod[p, 2], 0]]]], {n, 0, z}]  (* A240540 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, Count[Mod[p, 2], 1]]]], {n, 0, z}]  (* A240541 *)

CROSSREFS

Cf. A240540.

Sequence in context: A240538 A326923 A338315 * A073369 A021759 A070221

Adjacent sequences:  A240538 A240539 A240540 * A240542 A240543 A240544

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 07 2014

STATUS

approved

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Last modified June 13 11:03 EDT 2021. Contains 344988 sequences. (Running on oeis4.)