Sum over all partitions of n of the number of distinct parts i of multiplicity i+1.

Terms

a(0) =0a(1) =0a(2) =1a(3) =0a(4) =1a(5) =1a(6) =3a(7) =3a(8) =5a(9) =6a(10) =10a(11) =12a(12) =19a(13) =23a(14) =34a(15) =41a(16) =58a(17) =72a(18) =98a(19) =121a(20) =162a(21) =200a(22) =262a(23) =323a(24) =415a(25) =511a(26) =650a(27) =796a(28) =1000a(29) =1222