a(n) is the largest cube <= A066525(n).

Terms

a(0) =343a(1) =15625a(2) =34965783a(3) =106496424a(4) =3023464536a(5) =3659383421a(6) =7222633237a(7) =10403062487a(8) =11179320256a(9) =11993263569a(10) =25881801912a(11) =36495256013a(12) =40672093519a(13) =47516597848a(14) =49917330568a(15) =63616767488a(16) =84200449887a(17) =96323848704a(18) =573234910443a(19) =972947676429