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A345514 Numbers that are the sum of six cubes in five or more ways. 8

%I

%S 1045,1169,1241,1260,1377,1384,1432,1440,1488,1495,1530,1539,1549,

%T 1556,1558,1584,1586,1594,1595,1602,1612,1617,1640,1647,1654,1657,

%U 1673,1675,1677,1703,1710,1712,1715,1719,1729,1736,1738,1745,1747,1754,1764,1766,1771

%N Numbers that are the sum of six cubes in five or more ways.

%H Sean A. Irvine, <a href="/A345514/b345514.txt">Table of n, a(n) for n = 1..10000</a>

%e 1169 is a term because 1169 = 1^3 + 2^3 + 2^3 + 3^3 + 4^3 + 9^3 = 1^3 + 2^3 + 5^3 + 5^3 + 5^3 + 7^3 = 1^3 + 3^3 + 4^3 + 4^3 + 4^3 + 8^3 = 2^3 + 3^3 + 3^3 + 4^3 + 5^3 + 8^3 = 3^3 + 3^3 + 3^3 + 3^3 + 7^3 + 7^3.

%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 >= 5])

%o for x in range(len(rets)):

%o print(rets[x])

%Y Cf. A343989, A344809, A345513, A345515, A345523, A345562, A345767.

%K nonn

%O 1,1

%A _David Consiglio, Jr._, Jun 20 2021

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Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)