1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, … BIS

The Bernoulli excursions for 6 steps, enumerated by the Catalan sequence for n=3.
We have 5 different excursions, leaving the x-axis at the first move and coming back
after 6 moves. Some of them come back to the x-axis during the trip.
The colums of the Catalan triangle classify the excursions according to the number of times they come back during the trip: 2 times (#1), 1 times (#2) and zero times (#2). The line to be used in the case of n=3 is the line n=2 of the triangle shown in the previous post.
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