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

1,2

Comments

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

References

Elena Deza and Michel Marie Deza, Figurate numbers, World Scientific Publishing (2012), page 307.

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.

Mathematica

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

Crossrefs

Numbers not in (complement of) A003329.

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

Sequence in context: A020657 A037470 A187394 * A109234 A335137 A267304

Adjacent sequences: A057904 A057905 A057906 * A057908 A057909 A057910

Keyword

nonn,fini

Author

Eric W. Weisstein

Status

approved