a(n) = Sum_{d|n} d*d', where d' is the arithmetic derivative of d (A003415).

Terms

a(0) =0a(1) =2a(2) =3a(3) =18a(4) =5a(5) =35a(6) =7a(7) =114a(8) =57a(9) =77a(10) =11a(11) =243a(12) =13a(13) =135a(14) =128a(15) =626a(16) =17a(17) =467a(18) =19a(19) =573a(20) =220a(21) =299a(22) =23a(23) =1395a(24) =255a(25) =405a(26) =786a(27) =1047a(28) =29a(29) =1160