Nearest integer to the n-th root of e leading to a generalized closed form for Zeta(s).

Terms

a(0) =0a(1) =1a(2) =2a(3) =4a(4) =6a(5) =10a(6) =15a(7) =23a(8) =36a(9) =55a(10) =83a(11) =126a(12) =190a(13) =287a(14) =432a(15) =650a(16) =978a(17) =1470a(18) =2207a(19) =3315a(20) =4976a(21) =7469a(22) =11208a(23) =16817a(24) =25232a(25) =37855a(26) =56791a(27) =85196a(28) =127804a(29) =191717