A344518 Numbers that are the sum of five fifth powers in four or more ways.

287618651, 1386406515, 1763135232, 2494769760, 2619898293, 3096064443, 3291315732, 3749564512, 4045994624, 5142310350, 5183605813, 5658934676, 5880926107, 7205217018, 7401155424, 7691215599, 8429499101, 8926086432, 9006349824, 9051501568, 9203796832

Offset

1,1

Links

Sean A. Irvine, Table of n, a(n) for n = 1..4906

Example

287618651 is a term because 287618651 = 9^5 + 22^5 + 28^5 + 28^5 + 49^5 = 10^5 + 14^5 + 27^5 + 38^5 + 47^5 = 12^5 + 13^5 + 24^5 + 42^5 + 45^5 = 12^5 + 21^5 + 23^5 + 31^5 + 49^5.

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 >= 4])
for x in range(len(rets)):
    print(rets[x])

Crossrefs

Cf. A342687, A344354, A344519, A345718, A345863.

Sequence in context: A320878 A320879 A214155 * A344519 A345720 A346361

Adjacent sequences: A344515 A344516 A344517 * A344519 A344520 A344521

Keyword

nonn

Author

David Consiglio, Jr., May 21 2021

Status

approved