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A345864 Numbers that are the sum of five fifth powers in six or more ways. 3
288203194368, 2784485221024, 6022068333568, 9222502219776, 9670153077344, 10918228000032, 15441787364576 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
2784485221024 is a term because 2784485221024 = 14^5 + 113^5 + 149^5 + 180^5 + 303^5 = 21^5 + 51^5 + 91^5 + 255^5 + 281^5 = 29^5 + 165^5 + 171^5 + 226^5 + 288^5 = 35^5 + 121^5 + 131^5 + 167^5 + 305^5 = 39^5 + 50^5 + 133^5 + 265^5 + 272^5 = 40^5 + 88^5 + 104^5 + 236^5 + 291^5.
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 >= 6])
for x in range(len(rets)):
print(rets[x])
CROSSREFS
Sequence in context: A017291 A017399 A017663 * A354070 A273936 A287247
KEYWORD
nonn,more
AUTHOR
STATUS
approved

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Last modified April 22 01:34 EDT 2024. Contains 371887 sequences. (Running on oeis4.)