Numbers k such that k+x+y is a perfect cube, where x and y are the two cubes nearest to k.

Terms

a(0) =0a(1) =29a(2) =171a(3) =476a(4) =1015a(5) =1044a(6) =1907a(7) =3142a(8) =4815a(9) =7093a(10) =9882a(11) =13313a(12) =17452a(13) =22580a(14) =28393a(15) =35118a(16) =42821a(17) =43120a(18) =51939a(19) =61874a(20) =72991a(21) =85835a(22) =99604a(23) =114759a(24) =131366a(25) =150192a(26) =170009a(27) =191482a(28) =214677a(29) =240625