a(n) = sum of all distinct multiplicities in every integer partition of n.

Terms

a(0) =1a(1) =3a(2) =5a(3) =11a(4) =18a(5) =29a(6) =48a(7) =74a(8) =107a(9) =161a(10) =237a(11) =324a(12) =471a(13) =648a(14) =876a(15) =1199a(16) =1632a(17) =2141a(18) =2881a(19) =3754a(20) =4910a(21) =6389a(22) =8301a(23) =10570a(24) =13603a(25) =17280a(26) =21915a(27) =27614a(28) =34842a(29) =43416