Timeline for Constructing a generating function using a series with all negative and positive powers of a variable
Current License: CC BY-SA 3.0
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| Oct 15, 2015 at 21:32 | comment | added | Richard Stanley | Another analogous example is Problem A23 of my book Catalan Numbers. The solution consists essentially of guessing the answer and verifying that it works, This is also Problem 6.C11 at math.mit.edu/~rstan/ec/catadd.pdf. | |
| Oct 15, 2015 at 19:55 | comment | added | მამუკა ჯიბლაძე | Great, very significant resemblance, thanks! Indeed when I posted this question, in the Related column to the right a question about Dyck paths has appeared. The answer given there by Ira Gessel seems to say something similar to what you are saying, and using it the author of the question arrived at a closed form for the gf. I will look most carefully into what combining your and their considerations may give here. | |
| Oct 15, 2015 at 18:33 | history | answered | Max Alekseyev | CC BY-SA 3.0 |