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A240488 Number of partitions of n containing m(3) as a part, where m denotes multiplicity. 5
0, 0, 0, 0, 1, 1, 2, 2, 5, 7, 11, 14, 21, 28, 40, 52, 73, 94, 127, 162, 216, 274, 357, 449, 579, 724, 920, 1142, 1439, 1777, 2216, 2720, 3368, 4114, 5056, 6144, 7506, 9081, 11028, 13284, 16052, 19259, 23157, 27677, 33139, 39467, 47060, 55854, 66355, 78506 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Table of n, a(n) for n=0..49.

EXAMPLE

a(8) counts these 5 partitions:  431, 332, 3221, 32111, 311111.

MATHEMATICA

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

Table[Count[f[n], p_ /; MemberQ[p, Count[p, 1]]], {n, 0, z}] (* A240486 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, 2]]], {n, 0, z}] (* A240487 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, 3]]], {n, 0, z}] (* A240488 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, 4]]], {n, 0, z}] (* A240489 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, 5]]], {n, 0, z}] (* A240490 *)

CROSSREFS

Cf. A240486, A240487, A240489, A240490.

Sequence in context: A259446 A265769 A308957 * A238491 A326449 A326529

Adjacent sequences:  A240485 A240486 A240487 * A240489 A240490 A240491

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 06 2014

STATUS

approved

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Last modified May 21 03:31 EDT 2022. Contains 353887 sequences. (Running on oeis4.)