OFFSET
1,28
COMMENTS
Liu and Zhao show that there is a finite number of zeros in the sequence.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 1..10000
Jianya Liu and Lilu Zhao, Representation by sums of unlike powers, arXiv:2105.12955 [math.NT], 2021.
Rémy Sigrist, PARI program for A344833
PROG
(PARI) See Links section.
(Python)
from collections import Counter
from itertools import count, takewhile, product
def aupto(lim):
pows = [None for k in range(15)]
for k in range(2, 15):
pows[k] = list(takewhile(lambda x: x<=lim-13, (i**k for i in count(1))))
cts = Counter(sum(p) for p in product(*(pows[k] for k in range(2, 15))))
return [cts[i] for i in range(1, lim+1)]
print(aupto(87)) # Michael S. Branicky, May 29 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 29 2021
STATUS
approved