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A344034 Numbers that are the sum of five positive cubes in four or more ways. 8
1252, 1376, 1461, 1522, 1548, 1585, 1590, 1646, 1702, 1709, 1737, 1739, 1765, 1772, 1798, 1802, 1810, 1864, 1889, 1954, 1980, 1987, 2006, 2033, 2043, 2081, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
David Consiglio, Jr., Table of n, a(n) for n = 1..20000
EXAMPLE
1461 = 1^3 + 1^3 + 1^3 + 9^3 + 9^3
= 1^3 + 1^3 + 4^3 + 4^3 + 11^3
= 3^3 + 3^3 + 4^3 + 7^3 + 10^3
= 6^3 + 6^3 + 7^3 + 7^3 + 7^3
so 1461 is a term of this sequence.
PROG
(Python)
from itertools import combinations_with_replacement as cwr
from collections import defaultdict
keep = defaultdict(lambda: 0)
power_terms = [x**3 for x in range(1, 50)]
for pos in cwr(power_terms, 5):
tot = sum(pos)
keep[tot] += 1
rets = sorted([k for k, v in keep.items() if v >= 4])
for x in range(len(rets)):
print(rets[x])
CROSSREFS
Sequence in context: A288354 A186477 A045186 * A344035 A265970 A264291
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified July 23 10:51 EDT 2024. Contains 374549 sequences. (Running on oeis4.)