A345119 Numbers that are the sum of three third powers in nine or more ways.

14926248, 16819704, 20168784, 34012224, 44946000, 45580536, 54042624, 58995000, 59768064, 62099136, 66203136, 67956624, 69190848, 69393024, 71319312, 72505152, 78008832, 78716448, 79539832, 80621568, 80996544, 89354448, 90757584, 92853216, 94118760, 95331816

Offset

1,1

Links

David Consiglio, Jr., Table of n, a(n) for n = 1..37

Example

14926248 is a term because 14926248 = 2^3 + 33^3 + 245^3  = 11^3 + 185^3 + 203^3  = 14^3 + 32^3 + 245^3  = 50^3 + 113^3 + 236^3  = 71^3 + 89^3 + 239^3  = 74^3 + 189^3 + 196^3  = 89^3 + 185^3 + 197^3  = 98^3 + 148^3 + 219^3  = 105^3 + 149^3 + 217^3.

Prog

(Python)
from itertools import combinations_with_replacement as cwr
from collections import defaultdict
keep = defaultdict(lambda: 0)
power_terms = [x**3 for x in range(1, 1000)]
for pos in cwr(power_terms, 3):
    tot = sum(pos)
    keep[tot] += 1
rets = sorted([k for k, v in keep.items() if v >= 9])
for x in range(len(rets)):
    print(rets[x])

Crossrefs

Cf. A025337, A344750, A345087, A345120, A345121, A345146.

Sequence in context: A267361 A015364 A081640 * A345120 A227286 A125565

Adjacent sequences: A345116 A345117 A345118 * A345120 A345121 A345122

Keyword

nonn

Author

David Consiglio, Jr., Jun 08 2021

Status

approved