  We use the Robinson-Schensted correspondence, followed by symbol-crunching,
in order to derive explicit expressions for the quantities mentioned in the
title. We follow it by number crunching, in order to compute the first terms of
these sequences. As an encore, we cleverly implement Ira Gessel's celebrated
determinant formula for the generating functions of these sequences, to crank
out many terms.
  This modest tribute is dedicated to one of the greatest enumerators alive
today (and definitely the most modest one!), Ira Martin Gessel, who is turning
64 years-old today
