[seqfan] Exponent of highest power of 2 dividing n is equal to exponent of highest power of 3 dividing n

Charles Greathouse charles.greathouse at case.edu
Fri Sep 2 08:05:11 CEST 2016


Juri-Stepan Gerasimov submitted a nice sequence which turned out to be a
duplicate of
https://oeis.org/A064615

It's not hard to prove that a(n) ~ 5n/2. But I can't find a reasonable
error term. Can anyone help?

For example, a(174142594) = 435356467 is at a record distance of 18 from
the asymptotic at 435356485, and this is suggestive of a logarithmic error
(which is what I would naively expect).

Charles Greathouse
Case Western Reserve University



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