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%I #13 May 10 2024 08:50:25
%S 288203194368,2784485221024,6022068333568,9222502219776,9670153077344,
%T 10918228000032,15441787364576
%N Numbers that are the sum of five fifth powers in six or more ways.
%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, 5):
%o tot = sum(pos)
%o keep[tot] += 1
%o rets = sorted([k for k, v in keep.items() if v >= 6])
%o for x in range(len(rets)):
%o print(rets[x])
%Y Cf. A344940, A345720, A345863.
%K nonn,more
%O 1,1
%A _David Consiglio, Jr._, Jun 27 2021
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