May 28th, 2018, 09:54 PM  #1 
Newbie Joined: May 2018 From: Seoul Posts: 1 Thanks: 0  recurrence formula problem
how to solve it? a0=a1=1 thank you!! 
May 29th, 2018, 02:21 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,042 Thanks: 1618 
Why do you need to "solve" this? Have you realized that you can deal with the numerator and denominator separately? The denominator leads to $n$ factorial. 
May 29th, 2018, 12:23 PM  #3 
Senior Member Joined: Sep 2016 From: USA Posts: 382 Thanks: 205 Math Focus: Dynamical systems, analytic function theory, numerics 
What do you mean by "solve"? My guess from your screenshot is that you are solving a linear ODE by power series expansion. The resulting power series described by the recurrence IS the solution. What more could you ask for?


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