A344238 Numbers that are the sum of five fourth powers in two or more ways.

260, 275, 340, 515, 884, 1555, 2595, 2660, 2675, 2690, 2705, 2755, 2770, 2835, 2930, 2945, 3010, 3185, 3299, 3314, 3379, 3554, 3923, 3970, 3985, 4050, 4115, 4145, 4160, 4210, 4225, 4290, 4355, 4400, 4465, 4594, 4769, 4834, 5075, 5090, 5155, 5265, 5330, 5395, 5440, 5505, 5570, 5699, 6370, 6545, 6580, 6595, 6610

Offset

1,1

Links

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

Example

340 is a member of this sequence because 340 = 1^4 + 1^4 + 1^4 + 3^4 + 4^4 = 2^4 + 3^4 + 3^4 + 3^4 + 3^4

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 >= 2])
for x in range(len(rets)):
    print(rets[x])

Crossrefs

Cf. A003339, A309763, A342685, A343702, A344237, A344243, A345559.

Sequence in context: A063485 A252248 A214471 * A344237 A139408 A253504

Adjacent sequences: A344235 A344236 A344237 * A344239 A344240 A344241

Keyword

nonn

Author

David Consiglio, Jr., May 12 2021

Status

approved