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A345863 Numbers that are the sum of five fifth powers in five or more ways. 6
9006349824, 65799210368, 67629776576, 181085909632, 188189635424, 288203194368, 295677350451, 467139768468, 471359089024, 656243139157, 691381929281, 797466940832, 854533526901, 874953049024, 891862586132, 953769598750, 1038549256768 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
65799210368 is a term because 65799210368 = 7^5 + 77^5 + 109^5 + 115^5 + 125^5 = 10^5 + 84^5 + 98^5 + 109^5 + 132^5 = 16^5 + 21^5 + 29^5 + 71^5 + 146^5 = 49^5 + 57^5 + 77^5 + 115^5 + 135^5 = 57^5 + 59^5 + 63^5 + 125^5 + 129^5.
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, 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
Sequence in context: A331412 A204407 A144651 * A346257 A345723 A346364
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 2 05:08 EST 2024. Contains 370460 sequences. (Running on oeis4.)