login
A385364
Numbers whose cube is the sum of four distinct nonnegative cubes.
0
13, 14, 18, 20, 23, 24, 26, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95
OFFSET
1,1
COMMENTS
Numbers v such that v^3 = w^3+x^3+y^3+z^3, w>x>y>z>=0, is soluble.
Inspired by A023042.
MATHEMATICA
fQ[n_] := Length[ Select[ PowersRepresentations[ n^3, 4, 3], Union@# == # && #[[1]] > 0 &]] > 0; Select[ Range@ 95, fQ]
CROSSREFS
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Jul 29 2025
STATUS
approved