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A346356 Numbers that are the sum of six fifth powers in exactly one way. 6
6, 37, 68, 99, 130, 161, 192, 248, 279, 310, 341, 372, 403, 490, 521, 552, 583, 614, 732, 763, 794, 825, 974, 1005, 1029, 1036, 1060, 1091, 1122, 1153, 1184, 1216, 1247, 1271, 1302, 1333, 1364, 1395, 1458, 1513, 1544, 1575, 1606, 1755, 1786, 1817, 1997, 2028 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Differs from A003351 at term 93 because 4098 = 1^5 + 3^5 + 3^5 + 3^5 + 3^5 + 5^5 = 1^5 + 1^5 + 4^5 + 4^5 + 4^5 + 4^5.

LINKS

Sean A. Irvine, Table of n, a(n) for n = 1..10000

EXAMPLE

6 is a term because 6 = 1^5 + 1^5 + 1^5 + 1^5 + 1^5 + 1^5.

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, 6):

    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

Cf. A003351, A344643, A345813, A346278, A346357.

Sequence in context: A173604 A175719 A277726 * A003351 A129651 A097297

Adjacent sequences:  A346353 A346354 A346355 * A346357 A346358 A346359

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., Jul 13 2021

STATUS

approved

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Last modified September 23 02:41 EDT 2021. Contains 347609 sequences. (Running on oeis4.)