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A337587
a(n) is the maximum size among sets of partitions of n with the same multiplicity multiset.
1
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
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
KEYWORD
nonn
AUTHOR
Álvar Ibeas, Sep 02 2020
STATUS
approved