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math.CO2010
Two integer sequences related to Catalan numbers
Michel Lassalle
We prove the following conjecture of Zeilberger. Denoting by the Catalan number, define inductively by $(-1)^{n-1}A_n=C_n+\sum_{j=1}^{n-1} (-1)^{j} \binom{2n-1}{2j-1} A…
math.RT2010
Class expansion of some symmetric functions in Jucys-Murphy elements
Michel Lassalle
We present a method to compute the class expansion of a symmetric function in the Jucys-Murphy elements of the symmetric group. We apply this method to one-row Hall-Littlewood symm…