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A344642 Numbers that are the sum of four fifth powers in exactly one way. 6
4, 35, 66, 97, 128, 246, 277, 308, 339, 488, 519, 550, 730, 761, 972, 1027, 1058, 1089, 1120, 1269, 1300, 1331, 1511, 1542, 1753, 2050, 2081, 2112, 2292, 2323, 2534, 3073, 3104, 3128, 3159, 3190, 3221, 3315, 3370, 3401, 3432, 3612, 3643, 3854, 4096, 4151, 4182, 4213, 4393, 4424, 4635, 5174, 5205, 5416, 6197, 6252 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Differs from A003349 at term 270 because 51445 = 4^5 + 8^5 + 8^5 + 8^5 = 6^5 + 7^5 + 7^5 + 9^5

LINKS

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

EXAMPLE

66 is a term because 66 = 1^5 + 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, 4):

    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. A003349, A344189, A344641, A344643, A344645.

Sequence in context: A266063 A282284 A003349 * A297546 A257600 A211612

Adjacent sequences:  A344639 A344640 A344641 * A344643 A344644 A344645

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., May 25 2021

STATUS

approved

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Last modified October 19 15:34 EDT 2021. Contains 348091 sequences. (Running on oeis4.)