Integer Sequences Connected to the Laplace Continued Fraction and
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We consider integer sequences connected to the famous Laplace continued
fraction for the function
is the standard normal density. We
compute the generating functions for these sequences and study their
relation to the Hermite and Bessel polynomials. Using the master
equation for the generating functions, we find a new proof of the
Full version: pdf,
(Concerned with sequences
Received November 11 2015; revised versions received April 5 2016; June 24 2016; June 27 2016.
Published in Journal of Integer Sequences, June 27 2016.
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