

A342685


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


7



4097, 51446, 51477, 51688, 52469, 54570, 59221, 68252, 68905, 84213, 110494, 131104, 151445, 212496, 300277, 325174, 325713, 355114, 422135, 422738, 589269, 637418, 794434, 810820, 876734, 876765, 876976, 877757, 879858, 884509, 893540, 909501, 924912, 935782, 976733, 995571, 1037784, 1083457
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS

David Consiglio, Jr., Table of n, a(n) for n = 1..20000


EXAMPLE

51477 is a term because 51477 = 2^5 + 4^5 + 8^5 + 8^5 + 8^5 = 2^5 + 6^5 + 7^5 + 7^5 + 9^5.


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 >= 2])
for x in range(len(rets)):
print(rets[x])


CROSSREFS

Cf. A003350, A342686, A342687, A344238, A344644, A345507.
Sequence in context: A309112 A044887 A217196 * A342686 A321809 A017687
Adjacent sequences: A342682 A342683 A342684 * A342686 A342687 A342688


KEYWORD

nonn


AUTHOR

David Consiglio, Jr., May 17 2021


STATUS

approved



