A New Identity for Complete Bell Polynomials Based on a Formula of Ramanujan
University of Science and Technology Houari Boumediene
Faculty of Mathematics
P. O. Box 32
16111 El-Alia, Bab-Ezzouar, Algiers
Nesrine Benyahia Tani
Faculty of Economics and Management Sciences
Ahmed Waked Street
Dely Brahim, Algiers
Let p(n) be the number of partitions
of n. In this
paper, we give a new identity for complete Bell polynomials based on a
sequence related to the generating function of
p(5n+4) established by Srinivasa Ramanujan.
Full version: pdf,
(Concerned with sequences
Received January 3 2009;
revised version received March 22 2009.
Published in Journal of Integer Sequences, March 27 2009.
Journal of Integer Sequences home page