A342687 Numbers that are the sum of five fifth powers in three or more ways.

13124675, 28055699, 50043937, 52679923, 53069024, 55097976, 57936559, 60484744, 62260463, 62445305, 70211956, 73133026, 79401728, 80368962, 84766210, 88512249, 93288865, 98824300, 106993391, 113055482, 117173891, 120968132, 123383875, 126416258, 131106051, 131529588, 132022925

Offset

1,1

Links

David Consiglio, Jr., Table of n, a(n) for n = 1..1000

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, 500)]
for pos in cwr(power_terms, 5):
    tot = sum(pos)
    keep[tot] += 1
rets = sorted([k for k, v in keep.items() if v >= 3])
for x in range(len(rets)):
    print(rets[x])

Crossrefs

Cf. A342685, A342688, A344243, A344518, A345337, A345604.

Sequence in context: A257269 A283274 A343083 * A342688 A206061 A274026

Adjacent sequences: A342684 A342685 A342686 * A342688 A342689 A342690

Keyword

nonn

Author

David Consiglio, Jr., May 18 2021

Status

approved