Largest number whose cube has n digits.

Terms

a(0) =2a(1) =4a(2) =9a(3) =21a(4) =46a(5) =99a(6) =215a(7) =464a(8) =999a(9) =2154a(10) =4641a(11) =9999a(12) =21544a(13) =46415a(14) =99999a(15) =215443a(16) =464158a(17) =999999a(18) =2154434a(19) =4641588a(20) =9999999a(21) =21544346a(22) =46415888a(23) =99999999a(24) =215443469a(25) =464158883a(26) =999999999a(27) =2154434690a(28) =4641588833a(29) =9999999999