Walking into an absolute sum

Details Walking into an absolute sum Walking into an absolute sum

2006-06-04

arxiv.org/abs/math/0606080v1

The Fibonacci Quarterly, 40(2):175-180, May 2002

Mathematics

Number Theory

Related sequence in "The On-Line Encyclopedia of Integer Sequences" is A083061. See http://www.research.att.com/~njas/sequence

Scientific paper

We investigate a combinatorial sum that can be interpreted as the moments of
a random variate, measuring the absolute distance to the origin in a symmetric
Bernoulli random walk. These sums can be characterized by polynomials related
to the Dumont-Foata polynomials. The sums corresponding to the odd moments have
a connection to the Gandhi polynomials and Genocchi numbers.

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