Number of integer partitions of n whose multiset of multiplicities has integer mean.

Terms

a(0) =0a(1) =1a(2) =2a(3) =3a(4) =4a(5) =5a(6) =9a(7) =9a(8) =13a(9) =16a(10) =25a(11) =26a(12) =39a(13) =42a(14) =62a(15) =67a(16) =95a(17) =107a(18) =147a(19) =168a(20) =225a(21) =245a(22) =327a(23) =381a(24) =471a(25) =565a(26) =703a(27) =823a(28) =1038a(29) =1208