A337587 a(n) is the maximum size among sets of partitions of n with the same multiplicity multiset.

1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 7, 8, 11, 11, 17, 17, 23, 23, 30, 36, 44, 56, 65, 79, 91, 110, 124, 146, 165, 189, 212, 245, 280, 343, 393, 465, 530, 623, 698, 815, 910, 1043, 1163, 1325, 1464, 1690, 1898, 2190, 2590, 2981, 3458, 3965, 4568, 5156, 5931, 6689, 7571

Offset

0,6

Links

Table of n, a(n) for n=0..57.

Example

a(7) = 3, cardinality reached by two sets. On the one hand, the multiplicities of the three partitions (6, 1), (5, 2), and (4, 3) are (1, 1). On the other hand, those of (5, 1, 1), (3, 3, 1) and (3, 2, 2) are (2, 1).

Crossrefs

Cf. A337583.

Sequence in context: A357413 A318296 A035679 * A326439 A136537 A153928

Adjacent sequences: A337584 A337585 A337586 * A337588 A337589 A337590

Keyword

nonn

Author

Álvar Ibeas, Sep 02 2020

Status

approved