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Entringer numbers and Poupard Calculus

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Professor Dominique Foata (Strasbourg), 13 November 2013, 2:00 p.m., RISC Seminarroom pond
When Nov 13, 2013
from 02:00 PM to 03:30 PM
Where RISC Seminarroom pond
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Entringer numbers and Poupard Calculus

Refinements of the celebrated tangent and secant numbers give rise to bivariate statistical distributions that can be expressed, either by a finite difference equation system, or by a three-variate exponential generating function. The underlying combinatorial sets, counted by tangent and secant numbers, are the alternating permutations, or the André permutations of the two kinds, or still the binary increasing trees. Emphasis will be made on the calculation of the involved series.