A346356 Numbers that are the sum of six fifth powers in exactly one way.

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

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