Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts.

Terms

a(0) =1a(1) =2a(2) =5a(3) =8a(4) =13a(5) =21a(6) =31a(7) =44a(8) =62a(9) =87a(10) =117a(11) =157a(12) =206a(13) =269a(14) =349a(15) =447a(16) =566a(17) =715a(18) =894a(19) =1112a(20) =1378a(21) =1696a(22) =2076a(23) =2531a(24) =3072a(25) =3712a(26) =4472a(27) =5367a(28) =6417a(29) =7651