[seqfan] Re: Surely not new?

[Ray Chandler]

I get 33/85 for the fifth term which results in A058797/A058798, with
A121965 essentially a duplicate of A058797.
Ray

> Sorry if this is well known to those who well know it, but the following
seem
> not to be in OEIS:
> 
> 1, 1, 2,  7, 35, 191, 1304, ...
> 1, 2, 5, 18, 89, 492, 3359, ...
> 
> Presumably because I've made a stupid mistake in my hand clculations.
> 
> They are the numerators and denominators of the convergents to the
> negative continued fraction 1 - 1/(2 - 1/(3 - 1/(4 - ...)))  R.