a(n) is the sum of the smallest parts of all partitions of n that do not contain 1 as a part.

Terms

a(0) =0a(1) =2a(2) =3a(3) =6a(4) =7a(5) =13a(6) =14a(7) =23a(8) =27a(9) =39a(10) =45a(11) =67a(12) =75a(13) =104a(14) =125a(15) =165a(16) =194a(17) =258a(18) =302a(19) =392a(20) =467a(21) =588a(22) =700a(23) =885a(24) =1045a(25) =1296a(26) =1546a(27) =1897a(28) =2249a(29) =2753