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A345863 Numbers that are the sum of five fifth powers in five or more ways.

%I A345863 #12 May 10 2024 08:50:45
%S A345863 9006349824,65799210368,67629776576,181085909632,188189635424,
%T A345863 288203194368,295677350451,467139768468,471359089024,656243139157,
%U A345863 691381929281,797466940832,854533526901,874953049024,891862586132,953769598750,1038549256768
%N A345863 Numbers that are the sum of five fifth powers in five or more ways.
%H A345863 Sean A. Irvine, <a href="/A345863/b345863.txt">Table of n, a(n) for n = 1..168</a>
%o A345863 (Python)
%o A345863 from itertools import combinations_with_replacement as cwr
%o A345863 from collections import defaultdict
%o A345863 keep = defaultdict(lambda: 0)
%o A345863 power_terms = [x**5 for x in range(1, 1000)]
%o A345863 for pos in cwr(power_terms, 5):
%o A345863     tot = sum(pos)
%o A345863     keep[tot] += 1
%o A345863     rets = sorted([k for k, v in keep.items() if v >= 5])
%o A345863     for x in range(len(rets)):
%o A345863         print(rets[x])
%Y A345863 Cf. A344358, A344518, A345719, A345864, A346257.
%K A345863 nonn
%O A345863 1,1
%A A345863 _David Consiglio, Jr._, Jun 27 2021