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A343967 Numbers that are the sum of three positive cubes in five or more ways. 9
161568, 262683, 314712, 326808, 359568, 443197, 444536, 471960, 503208, 513729, 515376, 526023, 529199, 532683, 552824, 597960, 702729, 736371, 746992, 806688, 844416, 863379, 907479, 924048, 931419, 975213, 1011067, 1028663, 1062937, 1092853, 1152152, 1172016, 1211048, 1232496, 1258011 (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

314712 is a member of this sequence because 314712 = 4^3 + 6^3 + 68^3 = 5^3 + 24^3 + 67^3 = 6^3 + 30^3 + 66^3 = 31^3 + 41^3 + 60^3 = 36^3 + 48^3 + 54^3

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, 3):

    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. A025333, A051167, A343968, A343970, A343987, A344364, A345083.

Sequence in context: A233891 A339498 A249880 * A343970 A349774 A184474

Adjacent sequences:  A343964 A343965 A343966 * A343968 A343969 A343970

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., May 05 2021

STATUS

approved

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Last modified September 25 22:56 EDT 2022. Contains 356986 sequences. (Running on oeis4.)