OFFSET
1,1
COMMENTS
Note that, if there exist infinitely many infinitary perfect numbers (A007357), then, as k tends to infinity over such numbers, A064380(k)/k = 1/2 + o(k^(-1+eps)). We conjecture that here A064380(k)/k = 1/2 infinitely many times, and thus the sequence contains infinitely many infinitary perfect numbers.
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..201
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Feb 18 2011
EXTENSIONS
a(7)-a(13) from Amiram Eldar, Sep 13 2019
a(14)-a(41) from Amiram Eldar, Mar 26 2023
STATUS
approved