Asymptotic Estimate for the Multinomial Coefficients
School of Mathematical Sciences
Shanghai Jiao Tong University
The multinomial coefficient
is defined to be the
coefficient of xk
It is conjectured that for given n
is unimodal and the maximum occurs at
As an attempt to prove this conjecture, we give an asymptotic estimate for
tends to infinity, where c
is a positive integer.
Full version: pdf,
(Concerned with sequences
Received January 29 2018; revised versions received February 4 2018; August 23 2018; June 8 2018; June 12 2018; September 5 2018; September 8 2018; May 30 2019; August 25 2019.
Published in Journal of Integer Sequences,
December 28 2019.
Journal of Integer Sequences home page