The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A345722 Numbers that are the sum of six fifth powers in eight or more ways. 6

%I #6 Jul 31 2021 16:37:46

%S 2295937600,4335900525,6251954544,8986552608,9085584992,13413708308,

%T 14539246326,15277569450,15728636000,16770321920,16873011232,

%U 16933805856,17572402769,17713454592,17960776999,18190647200,19621666592,20570070125,20827689300

%N Numbers that are the sum of six fifth powers in eight or more ways.

%H Sean A. Irvine, <a href="/A345722/b345722.txt">Table of n, a(n) for n = 1..389</a>

%e 4335900525 is a term because 4335900525 = 2^5 + 24^5 + 34^5 + 56^5 + 61^5 + 78^5 = 3^5 + 21^5 + 37^5 + 54^5 + 62^5 + 78^5 = 3^5 + 21^5 + 39^5 + 49^5 + 66^5 + 77^5 = 3^5 + 26^5 + 32^5 + 49^5 + 72^5 + 73^5 = 8^5 + 16^5 + 42^5 + 49^5 + 61^5 + 79^5 = 9^5 + 13^5 + 43^5 + 47^5 + 66^5 + 77^5 = 19^5 + 20^5 + 30^5 + 45^5 + 61^5 + 80^5 = 21^5 + 24^5 + 28^5 + 37^5 + 67^5 + 78^5.

%o (Python)

%o from itertools import combinations_with_replacement as cwr

%o from collections import defaultdict

%o keep = defaultdict(lambda: 0)

%o power_terms = [x**5 for x in range(1, 1000)]

%o for pos in cwr(power_terms, 6):

%o tot = sum(pos)

%o keep[tot] += 1

%o rets = sorted([k for k, v in keep.items() if v >= 8])

%o for x in range(len(rets)):

%o print(rets[x])

%Y Cf. A345565, A345630, A345721, A345723, A346363.

%K nonn

%O 1,1

%A _David Consiglio, Jr._, Jun 24 2021

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

Last modified June 14 15:00 EDT 2024. Contains 373400 sequences. (Running on oeis4.)