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A344641 Numbers that are the sum of three fifth powers in exactly one way. 4
3, 34, 65, 96, 245, 276, 307, 487, 518, 729, 1026, 1057, 1088, 1268, 1299, 1510, 2049, 2080, 2291, 3072, 3127, 3158, 3189, 3369, 3400, 3611, 4150, 4181, 4392, 5173, 6251, 6282, 6493, 7274, 7778, 7809, 7840, 8020, 8051, 8262, 8801, 8832, 9043, 9375, 9824, 10902, 10933, 11144, 11925, 14026, 15553, 15584, 15795 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Differs from A003348 at term 44785 because 1375298099 = 3^5 + 55^5 + 63^5 = 25^5 + 29^5 + 68^5

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

Cf. A003348, A344188, A344642.

Sequence in context: A110070 A074692 A003348 * A086488 A195021 A344429

Adjacent sequences:  A344638 A344639 A344640 * A344642 A344643 A344644

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., May 25 2021

STATUS

approved

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Last modified October 22 18:45 EDT 2021. Contains 348175 sequences. (Running on oeis4.)