A344358 Numbers that are the sum of five fourth powers in five or more ways.

59779, 67859, 93394, 108274, 112850, 136915, 142354, 151300, 151475, 161459, 168979, 181219, 183539, 183604, 185299, 187699, 189394, 193379, 195394, 197779, 199090, 199474, 200979, 201874, 202979, 203299, 205859, 211059, 211330, 212419, 213730, 217154, 217810, 217890, 221779, 223090, 223155

Offset

1,1

Links

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

Example

93394 is a term of this sequence because 93394 = 1^4 + 4^4 + 8^4 + 14^4 + 15^4 = 1^4 + 6^4 + 12^4 + 12^4 + 15^4 = 1^4 + 9^4 + 10^4 + 14^4 + 14^4 = 5^4 + 6^4 + 11^4 + 14^4 + 14^4 = 5^4 + 7^4 + 8^4 + 12^4 + 16^4.

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 >= 5])
for x in range(len(rets)):
    print(rets[x])

Crossrefs

Cf. A343989, A344354, A344356, A344359, A344940, A345562, A345863.

Sequence in context: A135325 A031685 A238077 * A344359 A043635 A106774

Adjacent sequences: A344355 A344356 A344357 * A344359 A344360 A344361

Keyword

nonn

Author

David Consiglio, Jr., May 15 2021

Status

approved