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A344239 Numbers that are the sum of three fourth powers in three or more ways. 6
811538, 1733522, 2798978, 3750578, 4614722, 5978882, 6573938, 7303842, 8878898, 12771458, 12984608, 13760258, 14677362, 15601698, 15916082, 16196193, 17868242, 20621042, 21556178, 22349522, 22673378, 25190802, 25589858, 27736352, 29969282, 30623138, 33998258, 39765362, 41532498, 44048498 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

David Consiglio, Jr., Table of n, a(n) for n = 1..14213

EXAMPLE

2798978 is a member of this sequence because 2798978 = 6^4 + 31^4 + 37^4 = 9^4 + 29^4 + 38^4 = 13^4 + 26^4 + 39^4

PROG

(Python)

from itertools import combinations_with_replacement as cwr

from collections import defaultdict

keep = defaultdict(lambda: 0)

power_terms = [x**4 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 >= 3])

for x in range(len(rets)):

    print(rets[x])

CROSSREFS

Cf. A025398, A309762, A344240, A344241, A344277.

Sequence in context: A178290 A083617 A343082 * A344240 A238522 A210060

Adjacent sequences:  A344236 A344237 A344238 * A344240 A344241 A344242

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., May 12 2021

STATUS

approved

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Last modified October 22 22:35 EDT 2021. Contains 348180 sequences. (Running on oeis4.)