Can you compute the asymptotics of the Apery sequence?

Series
Research Horizons Seminar
Time
Wednesday, January 14, 2009 - 12:00pm for 1 hour (actually 50 minutes)
Location
Skiles 255
Speaker
Stavros Garoufalidis – School of Mathematics, Georgia Tech
Organizer
Craig Sloane
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.