A Note on Nested Sums
Department of Mathematics
Los Angeles, CA 90095
Santa Monica College
Santa Monica, CA 90405
We consider several nested sums, and show how binomial coefficients,
Stirling numbers of the second kind and Gaussian binomial coefficients
can be written as nested sums. We use this to find the rate of growth
for diagonals of Stirling numbers of the second kind, as well as another
proof of a known identity for Gaussian binomial coefficients.
Full version: pdf,
(Concerned with sequences
Received October 8 2009;
revised version received April 5 2010.
Published in Journal of Integer Sequences, April 5 2010.
Journal of Integer Sequences home page