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  1. On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs

    On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Helmut Prodinger --- Department of Mathematics, South Africa
    We give a direct and simple proof of Touchard's continued fraction, provide an extension of it, and transform it into similar expansions related to Motzkin and Schröder numbers. Another proof is then given that uses only induction. We use this...
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