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

Author

Eric W. Weisstein

Keywords

• nonn
• fini

Comments

It appears that this sequence has 5439 terms, the last of which is 1290740. - T. D. Noe, Dec 13 2006

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.

Crossrefs

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

Cf. A003328 (Complement)

Programs

Mathematica

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