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

Terms

a(0) =0a(1) =2a(2) =3a(3) =16a(4) =5a(5) =12a(6) =7a(7) =64a(8) =729a(9) =20a(10) =11a(11) =156a(12) =13a(13) =28a(14) =30a(15) =256a(16) =17a(17) =5850a(18) =19a(19) =420a(20) =42a(21) =44a(22) =23a(23) =600a(24) =9765625a(25) =52a(26) =19683a(27) =812a(28) =29a(29) =90