Numbers k such that both distances from k to two nearest cubes are perfect cubes.

Terms

a(0) =0a(1) =1a(2) =152a(3) =189a(4) =513a(5) =728a(6) =5859a(7) =6832a(8) =64008a(9) =68913a(10) =150605a(11) =155736a(12) =345744a(13) =355167a(14) =1062936a(15) =1090999a(16) =1481571a(17) =1520848a(18) =6653933a(19) =6742008a(20) =7665056a(21) =7742709a(22) =9667693a(23) =9796248a(24) =15253056a(25) =15438185a(26) =16582104a(27) =16592023a(28) =16766568a(29) =16776487