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A344190 Numbers that are the sum of five fourth powers in exactly one way. 6
5, 20, 35, 50, 65, 80, 85, 100, 115, 130, 145, 165, 180, 195, 210, 245, 290, 305, 320, 325, 355, 370, 385, 405, 420, 435, 450, 500, 530, 545, 560, 580, 595, 610, 625, 629, 644, 659, 674, 675, 689, 690, 709, 724, 739, 754, 755, 770, 785, 789, 800, 804, 819, 850, 865, 869, 899, 914, 929, 930, 949, 964, 979, 994, 1025, 1040 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Differs from A003339 at term 17 because 260 = 1^4 + 1^4 + 1^4 + 1^4 + 4^4 = 1^4 + 2^4 + 3^4 + 3^4 + 3^4

LINKS

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

EXAMPLE

35 is a member of this sequence because 35 = 1^4 + 1^4 + 1^4 + 2^4 + 2^4

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 == 1])

for x in range(len(rets)):

    print(rets[x])

CROSSREFS

Cf. A003339, A048926, A344189, A344237, A344643, A345813.

Sequence in context: A101867 A003339 A047716 * A326005 A063110 A044066

Adjacent sequences:  A344187 A344188 A344189 * A344191 A344192 A344193

KEYWORD

nonn,changed

AUTHOR

David Consiglio, Jr., May 11 2021

STATUS

approved

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Last modified August 5 15:16 EDT 2021. Contains 346472 sequences. (Running on oeis4.)