A345083 Numbers that are the sum of three third powers in six or more ways.

1296378, 1371735, 1409400, 1614185, 1824040, 1885248, 2016496, 2101464, 2302028, 2305395, 2542968, 2562624, 2851848, 2889216, 2974392, 2988441, 3185792, 3380833, 3681280, 3689496, 3706984, 3775680, 3906657, 4109832, 4123008, 4142683, 4422592, 4525632, 4783680

Offset

1,1

Links

David Consiglio, Jr., Table of n, a(n) for n = 1..1000

Example

1296378 is a term because 1296378 = 3^3 + 75^3 + 94^3  = 8^3 + 32^3 + 107^3  = 20^3 + 76^3 + 93^3  = 30^3 + 58^3 + 101^3  = 32^3 + 80^3 + 89^3  = 59^3 + 74^3 + 86^3.

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, 1000)]
for pos in cwr(power_terms, 3):
    tot = sum(pos)
    keep[tot] += 1
rets = sorted([k for k, v in keep.items() if v >= 6])
for x in range(len(rets)):
    print(rets[x])

Crossrefs

Cf. A025334, A343967, A344647, A345084, A345086, A345148.

Sequence in context: A163681 A354560 A185776 * A345084 A262531 A250830

Adjacent sequences: A345080 A345081 A345082 * A345084 A345085 A345086

Keyword

nonn

Author

David Consiglio, Jr., Jun 07 2021

Status

approved