a(n) = Sum_{p|n, p prime} n^omega(n/p).

Terms

a(0) =0a(1) =1a(2) =1a(3) =4a(4) =1a(5) =12a(6) =1a(7) =8a(8) =9a(9) =20a(10) =1a(11) =156a(12) =1a(13) =28a(14) =30a(15) =16a(16) =1a(17) =342a(18) =1a(19) =420a(20) =42a(21) =44a(22) =1a(23) =600a(24) =25a(25) =52a(26) =27a(27) =812a(28) =1a(29) =2700