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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

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Last modified December 7 13:08 EST 2021. Contains 349581 sequences. (Running on oeis4.)