Numbers n such that n^5 and a cube are between consecutive squares.

Terms

a(0) =2a(1) =23a(2) =199a(3) =201a(4) =408a(5) =575a(6) =603a(7) =1354a(8) =1628a(9) =4995a(10) =5745a(11) =7320a(12) =7994a(13) =12634a(14) =42637a(15) =44217a(16) =45962a(17) =67132a(18) =82131a(19) =82351a(20) =91116a(21) =91134a(22) =146521a(23) =177682a(24) =229863a(25) =359373a(26) =394826a(27) =458908a(28) =462763a(29) =512012