A345863 Numbers that are the sum of five fifth powers in five or more ways.

9006349824, 65799210368, 67629776576, 181085909632, 188189635424, 288203194368, 295677350451, 467139768468, 471359089024, 656243139157, 691381929281, 797466940832, 854533526901, 874953049024, 891862586132, 953769598750, 1038549256768

Offset: 1

Author

David Consiglio, Jr., Jun 27 2021

Keywords

• nonn

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..168

Crossrefs

Cf. A344358, A344518, A345719, A345864, A346257.

Programs

Python

from itertools import combinations_with_replacement as cwr
from collections import defaultdict
keep = defaultdict(lambda: 0)
power_terms = [x**5 for x in range(1, 1000)]
for pos in cwr(power_terms, 5):
    tot = sum(pos)
    keep[tot] += 1
    rets = sorted([k for k, v in keep.items() if v >= 5])
    for x in range(len(rets)):
        print(rets[x])