cp's OEIS Frontend

A344518 Numbers that are the sum of five positive fifth powers in four or more ways.

%I A344518 #12 Jan 11 2025 04:13:57
%S A344518 287618651,1386406515,1763135232,2494769760,2619898293,3096064443,
%T A344518 3291315732,3749564512,4045994624,5142310350,5183605813,5658934676,
%U A344518 5880926107,7205217018,7401155424,7691215599,8429499101,8926086432,9006349824,9051501568,9203796832
%N A344518 Numbers that are the sum of five positive fifth powers in four or more ways.
%H A344518 Sean A. Irvine, <a href="/A344518/b344518.txt">Table of n, a(n) for n = 1..4906</a>
%e A344518 287618651 is a term because
%e A344518 287618651 =  8^5 + 21^5 + 27^5 + 27^5 + 48^5
%e A344518           =  9^5 + 13^5 + 26^5 + 37^5 + 46^5
%e A344518           = 11^5 + 12^5 + 23^5 + 41^5 + 44^5
%e A344518           = 11^5 + 20^5 + 22^5 + 30^5 + 48^5.
%e A344518 [Corrected by _Patrick De Geest_, Dec 28 2024]
%o A344518 (Python)
%o A344518 from itertools import combinations_with_replacement as cwr
%o A344518 from collections import defaultdict
%o A344518 keep = defaultdict(lambda: 0)
%o A344518 power_terms = [x**5 for x in range(1, 500)]
%o A344518 for pos in cwr(power_terms, 5):
%o A344518     tot = sum(pos)
%o A344518     keep[tot] += 1
%o A344518 rets = sorted([k for k, v in keep.items() if v >= 4])
%o A344518 for x in range(len(rets)):
%o A344518     print(rets[x])
%Y A344518 Cf. A342685, A342686, A342687, A342688, A342687, A344519, A345718, A345863, A345864, A346257.
%K A344518 nonn
%O A344518 1,1
%A A344518 _David Consiglio, Jr._, May 21 2021