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A344647 Numbers that are the sum of three fourth powers in six or more ways. 6
292965218, 779888018, 1010431058, 1110995522, 1500533762, 1665914642, 2158376402, 2373191618, 2636686962, 2689817858, 3019732898, 3205282178, 3642994082, 3831800882, 4324686002, 4687443488, 5064808658, 5175310322, 5745705602, 6317554418, 6450435362, 6720346178, 7018992162 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Sean A. Irvine, Table of n, a(n) for n = 1..10000 (terms 1..70 from David Consiglio, Jr.)

EXAMPLE

1010431058 is a term because 1010431058 = 13^4 + 143^4 + 156^4 = 31^4 + 132^4 + 163^4 = 44^4 + 123^4 + 167^4 = 52^4 + 117^4 + 169^4 = 69^4 + 103^4 + 172^4 = 81^4 + 92^4 + 173^4

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, 500)]

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. A344364, A344648, A344729, A344904, A345083.

Sequence in context: A234807 A204055 A344364 * A344648 A251566 A112452

Adjacent sequences:  A344644 A344645 A344646 * A344648 A344649 A344650

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., May 25 2021

STATUS

approved

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Last modified December 6 06:14 EST 2021. Contains 349563 sequences. (Running on oeis4.)