Can you compute the asymptotics of the Apery sequence?

Series: 
Research Horizons Seminar
Wednesday, January 14, 2009 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 255
,  
School of Mathematics, Georgia Tech
The Apery sequence is a sequence of natural numbers 1,5,73,1445,...which is used to prove the irrationality of zeta(3). Can you compute its asymptotic expansion to all orders of 1/n? The talk will not assume a lot, but promises to compute, and also justify.