[seqfan] Re: enumerating Z and log(p/q)
Jaume Oliver i Lafont
joliverlafont at gmail.com
Mon Nov 2 05:31:06 CET 2009
> Are there references for A166711 and 166871?
> http://www.research.att.com/~njas/sequences/?q=id:A166711|id:A166871
>
> A related underlying identity is log(p/q) = lim h(p*n)-h(q*n) as
> n->oo, where h(n) is the n-th harmonic number.
These are examples of http://www.wikipedia.org/wiki/Riemann_series_theorem
but instead of log(2)=1-1/2+1/3-1/4...
they rearrange the series log(1)=0=1-1+1/2-1/2+1/3-1/3
and converge to log(a/b) instead of log(2sqrt(a/b))
Jaume
More information about the SeqFan
mailing list