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a(n) is the maximum size among sets of partitions of n with the same multiplicity multiset.
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%I #6 Sep 05 2020 22:22:10

%S 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,

%T 124,146,165,189,212,245,280,343,393,465,530,623,698,815,910,1043,

%U 1163,1325,1464,1690,1898,2190,2590,2981,3458,3965,4568,5156,5931,6689,7571

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

%e 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).

%Y Cf. A337583.

%K nonn

%O 0,6

%A _Álvar Ibeas_, Sep 02 2020