A024972 a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A003072.

6, 15, 29, 54, 88, 139, 203, 271, 369, 479, 615, 770, 960, 1173, 1415, 1688, 1990, 2337, 2692, 3139, 3585, 4073, 4592, 5171, 5796, 6451, 7198, 7967, 8818, 9697, 10667, 11696, 12729, 13897, 15055, 16341, 17672, 19098, 20567, 22109, 23721, 25411, 27191, 29016