|Journal of Integer Sequences, Vol. 22 (2019), Article 19.4.7|
M. L. Glasser
Potsdam, NY 13699-5820
Anthony J. Guttmann
School of Mathematics and Statistics
The University of Melbourne
We consider the asymptotic behaviour of the sequences (an) and (bn) as , showing that they are closely related, and proving a conjecture of Bruno Salvy regarding (bn).
Let , so is a Hadamard product. We obtain an asymptotic expansion as , where , d0=1. We conjecture that . This has been verified for .
(Concerned with sequences A000012 A000262 A067653 A067764 A073003 A201203 A293125 A321937 A321938 A321939 A321940 A321941 A321942.)
Received December 14 2018; revised versions received December 15 2018; May 27 2019. Published in Journal of Integer Sequences, August 15 2019.