Sum of all parts of all partitions of n with designated summands.

Terms

a(0) =0a(1) =1a(2) =6a(3) =15a(4) =40a(5) =75a(6) =168a(7) =287a(8) =552a(9) =918a(10) =1600a(11) =2541a(12) =4224a(13) =6474a(14) =10248a(15) =15405a(16) =23520a(17) =34527a(18) =51408a(19) =74024a(20) =107640a(21) =152712a(22) =217712a(23) =304359a(24) =427200a(25) =589475a(26) =815412a(27) =1112913a(28) =1520064a(29) =2052939