%I
%S 158,165,184,221,228,235,247,254,256,261,268,273,275,280,282,284,287,
%T 291,294,306,310,313,317,324,331,332,343,345,347,350,352,362,369,371,
%U 373,376,378,380,385,387,388,392,395,399,404,406,408,411,418,425,430,432
%N Numbers that are the sum of six cubes in two or more ways.
%H Sean A. Irvine, <a href="/A345511/b345511.txt">Table of n, a(n) for n = 1..10000</a>
%e 165 is a term because 165 = 1^3 + 1^3 + 2^3 + 3^3 + 3^3 + 3^3 = 2^3 + 2^3 + 2^3 + 2^3 + 2^3 + 4^3.
%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**3 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 >= 2])
%o for x in range(len(rets)):
%o print(rets[x])
%Y Cf. A003329, A048930, A343702, A344806, A345512, A345520, A345559.
%K nonn
%O 1,1
%A _David Consiglio, Jr._, Jun 20 2021
