Sum of a(n) terms of 1/k^(2/3) first exceeds n.

Terms

a(0) =1a(1) =2a(2) =3a(3) =6a(4) =10a(5) =15a(6) =22a(7) =31a(8) =42a(9) =56a(10) =71a(11) =90a(12) =112a(13) =137a(14) =165a(15) =197a(16) =233a(17) =272a(18) =317a(19) =365a(20) =419a(21) =477a(22) =541a(23) =610a(24) =685a(25) =766a(26) =853a(27) =946a(28) =1045a(29) =1152