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A345511 Numbers that are the sum of six cubes in two or more ways.

%I A345511 #12 May 10 2024 02:27:48
%S A345511 158,165,184,221,228,235,247,254,256,261,268,273,275,280,282,284,287,
%T A345511 291,294,306,310,313,317,324,331,332,343,345,347,350,352,362,369,371,
%U A345511 373,376,378,380,385,387,388,392,395,399,404,406,408,411,418,425,430,432
%N A345511 Numbers that are the sum of six cubes in two or more ways.
%H A345511 Sean A. Irvine, <a href="/A345511/b345511.txt">Table of n, a(n) for n = 1..10000</a>
%o A345511 (Python)
%o A345511 from itertools import combinations_with_replacement as cwr
%o A345511 from collections import defaultdict
%o A345511 keep = defaultdict(lambda: 0)
%o A345511 power_terms = [x**3 for x in range(1, 1000)]
%o A345511 for pos in cwr(power_terms, 6):
%o A345511     tot = sum(pos)
%o A345511     keep[tot] += 1
%o A345511     rets = sorted([k for k, v in keep.items() if v >= 2])
%o A345511     for x in range(len(rets)):
%o A345511         print(rets[x])
%Y A345511 Cf. A003329, A048930, A343702, A344806, A345512, A345520, A345559.
%K A345511 nonn
%O A345511 1,1
%A A345511 _David Consiglio, Jr._, Jun 20 2021