A057906 Positive integers that are not the sum of exactly five positive cubes.

1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 32, 34, 35, 36, 37, 39, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 58, 60, 61, 62, 63, 65, 66, 67, 69, 70, 72, 73, 74, 76, 77, 79, 80, 81, 84, 85, 86, 87, 88, 91, 92

Offset

1,2

Comments

It appears that this sequence has 5439 terms, the last of which is 1290740. - 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..5439

Brennan Benfield and Oliver Lippard, Integers that are not the sum of positive powers, arXiv:2404.08193 [math.NT], 2024. p. 5.

Eric Weisstein's World of Mathematics, Cubic Number.

Mathematica

max = 100; Complement[Range[max], Select[Range[max], Count[ PowersRepresentations[#, 5, 3], r_ /; FreeQ[r, 0]] == 1 &]] (* Jean-François Alcover, Oct 23 2012 *)

Crossrefs

Cf. A048926 (numbers that are the sum of five positive cubes in exactly 1 way)

Cf. A003328 (Complement)

Sequence in context: A285211 A183217 A047303 * A039214 A032866 A014155

Adjacent sequences: A057903 A057904 A057905 * A057907 A057908 A057909

Keyword

nonn,fini

Author

Eric W. Weisstein

Status

approved