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A343989 Numbers that are the sum of five positive cubes in five or more ways. 8
1765, 1980, 2043, 2104, 2195, 2250, 2430, 2449, 2486, 2491, 2493, 2547, 2584, 2592, 2738, 2745, 2764, 2817, 2888, 2915, 2953, 2969, 2979, 3095, 3096, 3133, 3142, 3186, 3188, 3214, 3240, 3249, 3275, 3277, 3310, 3312, 3366, 3403, 3422, 3459, 3464, 3466, 3483, 3492, 3520, 3529, 3583, 3608, 3627, 3653, 3664, 3671 (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

2043 is a term because 2043 = 1^3 + 4^3 + 5^3 + 5^3 + 12^3 = 2^3 + 2^3 + 3^3 + 10^3 + 10^3 = 2^3 + 3^3 + 4^3 + 6^3 + 12^3 = 4^3 + 5^3 + 5^3 + 9^3 + 10^3 = 4^3 + 6^3 + 6^3 + 6^3 + 11^3.

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, 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 >= 5])

for x in range(len(rets)):

    print(rets[x])

CROSSREFS

Cf. A343987, A343988, A344034, A344358, A344798, A345174, A345514.

Sequence in context: A061627 A232554 A111886 * A343988 A031762 A031672

Adjacent sequences:  A343986 A343987 A343988 * A343990 A343991 A343992

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., May 06 2021

STATUS

approved

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Last modified December 4 17:50 EST 2021. Contains 349526 sequences. (Running on oeis4.)