OFFSET
1,1
COMMENTS
Differs from A003348 at term 44785 because 1375298099 = 3^5 + 54^5 + 62^5 = 24^5 + 28^5 + 67^5. [Corrected by Patrick De Geest, Dec 27 2024]
LINKS
David Consiglio, Jr., Table of n, a(n) for n = 1..20000
EXAMPLE
65 is a term because 65 = 1^5 + 2^5 + 2^5.
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, 3):
tot = sum(pos)
keep[tot] += 1
rets = sorted([k for k, v in keep.items() if v == 1])
for x in range(len(rets)):
print(rets[x])
CROSSREFS
KEYWORD
nonn
AUTHOR
David Consiglio, Jr., May 25 2021
STATUS
approved