login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A345181 Numbers that are the sum of five third powers in exactly seven ways. 7
4472, 4544, 4600, 4957, 5076, 5113, 5120, 5132, 5165, 5174, 5347, 5354, 5384, 5391, 5410, 5445, 5474, 5481, 5507, 5543, 5617, 5715, 5760, 5834, 5895, 5923, 5984, 5986, 6049, 6128, 6131, 6245, 6280, 6373, 6407, 6434, 6436, 6544, 6553, 6733, 6768, 6831, 6840 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Differs from A345180 at term 1 because 4392 = 1^3 + 1^3 + 10^3 + 10^3 + 11^3  = 1^3 + 2^3 + 2^3 + 9^3 + 14^3  = 1^3 + 8^3 + 9^3 + 10^3 + 10^3  = 2^3 + 2^3 + 3^3 + 5^3 + 15^3  = 2^3 + 3^3 + 5^3 + 8^3 + 14^3  = 2^3 + 8^3 + 8^3 + 8^3 + 12^3  = 3^3 + 6^3 + 7^3 + 8^3 + 13^3  = 5^3 + 5^3 + 5^3 + 9^3 + 13^3.

LINKS

David Consiglio, Jr., Table of n, a(n) for n = 1..10000

EXAMPLE

4472 is a term because 4472 = 1^3 + 4^3 + 4^3 + 4^3 + 15^3  = 2^3 + 2^3 + 9^3 + 11^3 + 11^3  = 2^3 + 3^3 + 4^3 + 5^3 + 15^3  = 2^3 + 3^3 + 7^3 + 11^3 + 12^3  = 3^3 + 3^3 + 6^3 + 10^3 + 13^3  = 3^3 + 4^3 + 5^3 + 8^3 + 14^3  = 5^3 + 5^3 + 7^3 + 10^3 + 12^3.

PROG

(Python)

from itertools import combinations_with_replacement as cwr

from collections import defaultdict

keep = defaultdict(lambda: 0)

power_terms = [x**3 for x in range(1, 1000)]

for pos in cwr(power_terms, 5):

    tot = sum(pos)

    keep[tot] += 1

rets = sorted([k for k, v in keep.items() if v == 7])

for x in range(len(rets)):

    print(rets[x])

CROSSREFS

Cf. A294741, A344943, A345151, A345175, A345180, A345184, A345769.

Sequence in context: A345848 A221007 A203938 * A235890 A237775 A179161

Adjacent sequences:  A345178 A345179 A345180 * A345182 A345183 A345184

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., Jun 10 2021

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 19 21:54 EDT 2021. Contains 348095 sequences. (Running on oeis4.)