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In the study of Zeilberger's conjecture on an integer sequence related to the Catalan numbers, Lassalle proposed the following conjecture. Let (t) n denote the rising factorial, and let Λ R denote the algebra of symmetric functions with real coefficients. If ϕ is the homomorphism from Λ R to R defined by ϕ(h n) = 1/((t) n n!) for some t > 0, then for any… (More)

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