A344940 Numbers that are the sum of five fourth powers in six or more ways.

151300, 197779, 211059, 217154, 225890, 236194, 236675, 243235, 246674, 250834, 286114, 288579, 300835, 302130, 302210, 303235, 309059, 317795, 320195, 334819, 334899, 335443, 336210, 338914, 346835, 356899, 363379, 366995, 373234, 375619, 389875, 391154

Offset

1,1

Links

David Consiglio, Jr., Table of n, a(n) for n = 1..10000

Example

151300 is a term because 151300 = 3^4 + 3^4 + 3^4 + 12^4 + 19^4  = 3^4 + 11^4 + 11^4 + 14^4 + 17^4  = 3^4 + 13^4 + 13^4 + 13^4 + 16^4  = 6^4 + 9^4 + 9^4 + 9^4 + 19^4  = 7^4 + 11^4 + 11^4 + 11^4 + 18^4  = 8^4 + 9^4 + 13^4 + 13^4 + 17^4.

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, 1000)]
for pos in cwr(power_terms, 5):
    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. A344358, A344904, A344941, A344942, A345174, A345563, A345864.

Sequence in context: A138264 A343679 A246285 * A344941 A334005 A367841

Adjacent sequences: A344937 A344938 A344939 * A344941 A344942 A344943

Keyword

nonn

Author

David Consiglio, Jr., Jun 03 2021

Status

approved