A057907 Positive integers that are not the sum of precisely six positive cubes.

1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 33, 35, 36, 37, 38, 40, 42, 43, 44, 45, 47, 49, 50, 51, 52, 54, 55, 56, 57, 59, 61, 62, 63, 64, 66, 68, 70, 71, 73, 74, 75, 77, 78, 80, 81, 82, 85, 87, 88, 89, 92, 93, 94, 96

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• fini

Comments

It appears that this sequence has 492 terms, the last of which is 19202. - T. D. Noe, Dec 13 2006

Links

• T. D. Noe, Table of n, a(n) for n=1..492
• Brennan Benfield and Oliver Lippard, Integers that are not the sum of positive powers, arXiv:2404.08193 [math.NT], 2024. p. 4.
• Eric Weisstein's World of Mathematics, Cubic Number.

Crossrefs

Numbers not in (complement of) A003329.

Cf. A048929 (numbers that are the sum of six positive cubes in exactly 1 way).

Programs

Mathematica

Select[ Range[100], Length[ Select[ PowersRepresentations[#, 6, 3], And @@ (Positive /@ #) &]] != 1 &] (* Jean-François Alcover, Oct 25 2012 *)