Sum of a(n) terms of 1/k^(8/9) first exceeds n.

Terms

a(0) =1a(1) =2a(2) =4a(3) =9a(4) =18a(5) =37a(6) =70a(7) =128a(8) =225a(9) =383a(10) =633a(11) =1019a(12) =1601a(13) =2461a(14) =3711a(15) =5494a(16) =8003a(17) =11484a(18) =16249a(19) =22698a(20) =31328a(21) =42762a(22) =57764a(23) =77274a(24) =102436a(25) =134634a(26) =175532a(27) =227123a(28) =291776a(29) =372300