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

1,1

Links

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

Prog

(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])

Crossrefs

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

Sequence in context: A331412 A204407 A144651 * A346257 A345723 A346364

Adjacent sequences: A345860 A345861 A345862 * A345864 A345865 A345866

Keyword

nonn

Author

David Consiglio, Jr., Jun 27 2021

Status

approved