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

Terms

a(0) =0a(1) =2a(2) =3a(3) =16a(4) =5a(5) =72a(6) =7a(7) =512a(8) =81a(9) =200a(10) =11a(11) =22464a(12) =13a(13) =392a(14) =450a(15) =65536a(16) =17a(17) =110808a(18) =19a(19) =168000a(20) =882a(21) =968a(22) =23a(23) =191434752a(24) =625a(25) =1352a(26) =19683a(27) =636608a(28) =29a(29) =2430000