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A344034 Numbers that are the sum of five positive cubes in four or more ways.

%I A344034 #14 May 10 2024 02:20:43
%S A344034 1252,1376,1461,1522,1548,1585,1590,1646,1702,1709,1737,1739,1765,
%T A344034 1772,1798,1802,1810,1864,1889,1954,1980,1987,2006,2033,2043,2081,
%U A344034 2096,2104,2152,2160,2195,2225,2241,2250,2251,2276,2313,2322,2339,2341,2367,2374,2377,2416,2423,2430,2449,2456,2458,2465,2467,2486
%N A344034 Numbers that are the sum of five positive cubes in four or more ways.
%H A344034 David Consiglio, Jr., <a href="/A344034/b344034.txt">Table of n, a(n) for n = 1..20000</a>
%e A344034 1461 = 1^3 + 1^3 + 1^3 + 9^3 +  9^3
%e A344034      = 1^3 + 1^3 + 4^3 + 4^3 + 11^3
%e A344034      = 3^3 + 3^3 + 4^3 + 7^3 + 10^3
%e A344034      = 6^3 + 6^3 + 7^3 + 7^3 +  7^3
%e A344034 so 1461 is a term of this sequence.
%o A344034 (Python)
%o A344034 from itertools import combinations_with_replacement as cwr
%o A344034 from collections import defaultdict
%o A344034 keep = defaultdict(lambda: 0)
%o A344034 power_terms = [x**3 for x in range(1,50)]
%o A344034 for pos in cwr(power_terms,5):
%o A344034     tot = sum(pos)
%o A344034     keep[tot] += 1
%o A344034 rets = sorted([k for k,v in keep.items() if v >= 4])
%o A344034 for x in range(len(rets)):
%o A344034     print(rets[x])
%Y A344034 Cf. A343704, A343971, A343989, A344035, A344354, A344797, A345513.
%K A344034 nonn
%O A344034 1,1
%A A344034 _David Consiglio, Jr._, May 07 2021