Product of sigma(k)/phi(k) - CF vs. Non-Squashing Partitions

[Ralf Stephan]

>     Is it merely coincidence that 
>  
>  |A110036(n)| = 2*A090678(n+3)  ???

No, I already said the coefficients satisfy a bifurcating recurrence
but I should have said polyfurcating as it is 32-fold. Please see
the references in A007400 and A004200:

%H A007400 J. O. Shallit, <a href="http://www.cs.uwaterloo.ca/~shallit/Papers/scf.ps">Simple continued fractions for some irrational numbers</a>. J. Number Theory 11 (1979), no. 2, 209-217.
%H A007400 H. Cohn, <a href="http://arXiv.org/abs/math.NT/0008221">Symmetry and specializability in continued fractions</a>
%H A007400 A. J. van der Poorten, <a href="http://www-centre.mpce.mq.edu.au/alfpapers/a075.pdf">An introduction to continued fractions</a>


ralf