a(n) = prime(n)*T(n), where T = A000217.

Terms

a(0) =2a(1) =9a(2) =30a(3) =70a(4) =165a(5) =273a(6) =476a(7) =684a(8) =1035a(9) =1595a(10) =2046a(11) =2886a(12) =3731a(13) =4515a(14) =5640a(15) =7208a(16) =9027a(17) =10431a(18) =12730a(19) =14910a(20) =16863a(21) =19987a(22) =22908a(23) =26700a(24) =31525a(25) =35451a(26) =38934a(27) =43442a(28) =47415a(29) =52545