a(n) = Sum_{p|n, p prime} p^nextprime(n/p), where nextprime(n) is the smallest prime > n.

Terms

a(0) =0a(1) =4a(2) =9a(3) =8a(4) =25a(5) =59a(6) =49a(7) =32a(8) =243a(9) =253a(10) =121a(11) =371a(12) =169a(13) =2391a(14) =5312a(15) =2048a(16) =289a(17) =4235a(18) =361a(19) =5173a(20) =193954a(21) =9523a(22) =529a(23) =185339a(24) =78125a(25) =133269a(26) =177147a(27) =147879a(28) =841a(29) =386344