A344243 Numbers that are the sum of five fourth powers in three or more ways.

4225, 6610, 6850, 9170, 9235, 9490, 11299, 12929, 14209, 14690, 14755, 14770, 15314, 16579, 16594, 16659, 16834, 17203, 17235, 17315, 17859, 17874, 17939, 18785, 18850, 18979, 19154, 19700, 19715, 20674, 20995, 21235, 21250, 21330, 21364, 21410, 21954, 23139, 23795, 24754, 25810, 26578, 28610, 28930

Offset

1,1

Links

David Consiglio, Jr., Table of n, a(n) for n = 1..20000

Example

6850 is a member of this sequence because 6850 =  = 1^4 + 2^4 + 2^4 + 4^4 + 9^4 = 2^4 + 3^4 + 4^4 + 7^4 + 8^4 = 3^4 + 3^4 + 6^4 + 6^4 + 8^4

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, 5):
    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. A342687, A343704, A344238, A344241, A344244, A344354, A345560.

Sequence in context: A188789 A170777 A364183 * A344244 A294716 A097226

Adjacent sequences: A344240 A344241 A344242 * A344244 A344245 A344246

Keyword

nonn

Author

David Consiglio, Jr., May 12 2021

Status

approved