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A344356 Numbers that are the sum of four fourth powers in five or more ways. 7
2147874, 2266338, 2690658, 3189603, 3464178, 3754674, 3847554, 4030419, 4165794, 4457298, 4884114, 5229378, 5624739, 5978883, 5980178, 5981283, 6014178, 6044418, 6134994, 6258723, 6313953, 6400194, 6576339, 6593538, 6612354, 6899603, 7088898, 7498323, 7811874, 7918498, 8064018, 8292323 (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

2690658 is a term of this sequence because 2690658 = 2^4 + 8^4 + 33^4 + 35^4 = 3^4 + 4^4 + 19^4 + 40^4 = 7^4 + 8^4 + 30^4 + 37^4 = 9^4 + 21^4 + 30^4 + 36^4 = 16^4 + 25^4 + 32^4 + 33^4.

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, 4):

    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, A344352, A344357, A344358, A344364, A344904.

Sequence in context: A235930 A178227 A154709 * A344357 A184476 A144587

Adjacent sequences:  A344353 A344354 A344355 * A344357 A344358 A344359

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., May 15 2021

STATUS

approved

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Last modified October 6 04:09 EDT 2022. Contains 357261 sequences. (Running on oeis4.)