a(n) is the least k such that Sum_{j=1..k} 1/(j^(1 + 1/j)) >= n.

Terms

a(0) =0a(1) =1a(2) =6a(3) =22a(4) =65a(5) =185a(6) =512a(7) =1402a(8) =3825a(9) =10412a(10) =28318a(11) =76995a(12) =209314a(13) =568995a(14) =1546713a(15) =4204428a(16) =11428848a(17) =31066858a(18) =84448506a(19) =229554871a(20) =623994868a(21) =1696193945a(22) =4610733216a(23) =12533272358a(24) =34068966559