|
|
|
|
4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 10, 4, 6, 4, 6, 4, 8, 4, 6, 4, 6, 4, 10, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 10, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 10, 4, 6, 4, 6, 4, 8, 4, 6, 4, 6, 4, 12, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 10, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 10, 4
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
a(n) = 4 for all odd n. For all even n, a(n) >= 6.
|
|
LINKS
|
|
|
MATHEMATICA
|
a[n_] := Module[{d = DivisorSigma[0, n], k = 1}, While[DivisorSigma[0, k*n] <= 2*d, k++]; k]; Array[a, 100] (* Amiram Eldar, Feb 03 2022 *)
|
|
PROG
|
(PARI) a(n) = my(m=n, d=numdiv(n)); while(numdiv(m)<=2*d, m+=n); m/n; \\ Michel Marcus, Feb 27 2022
(Python)
from math import prod
from collections import Counter
from itertools import count
from sympy import factorint
f = Counter(factorint(n))
d = prod(e+1 for e in f.values())
for m in count(2):
if prod(e+1 for e in (f+Counter(factorint(m))).values()) > 2*d:
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|