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A344238 Numbers that are the sum of five fourth powers in two or more ways. 8
260, 275, 340, 515, 884, 1555, 2595, 2660, 2675, 2690, 2705, 2755, 2770, 2835, 2930, 2945, 3010, 3185, 3299, 3314, 3379, 3554, 3923, 3970, 3985, 4050, 4115, 4145, 4160, 4210, 4225, 4290, 4355, 4400, 4465, 4594, 4769, 4834, 5075, 5090, 5155, 5265, 5330, 5395, 5440, 5505, 5570, 5699, 6370, 6545, 6580, 6595, 6610 (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

340 is a member of this sequence because 340 = 1^4 + 1^4 + 1^4 + 3^4 + 4^4 = 2^4 + 3^4 + 3^4 + 3^4 + 3^4

PROG

(Python)

from itertools import combinations_with_replacement as cwr

from collections import defaultdict

keep = defaultdict(lambda: 0)

power_terms = [x**4 for x in range(1, 50)]

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. A003339, A309763, A342685, A343702, A344237, A344243, A345559.

Sequence in context: A063485 A252248 A214471 * A344237 A139408 A253504

Adjacent sequences:  A344235 A344236 A344237 * A344239 A344240 A344241

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., May 12 2021

STATUS

approved

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Last modified October 23 21:20 EDT 2021. Contains 348216 sequences. (Running on oeis4.)