Helmut Prodinger

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20082026

most citedA continued fraction expansion for a q-tangent function: An elementary proof

14 citations · 14 across the 4 of their papers we have counts for

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math.CO2026

The generating function of A348410 in OEIS using the diagonal method and another sequence (A001008) from OEIS

Helmut Prodinger

$a_{n} = [x^{n}] (1 - x)^{- n} (1 - x^{2})^{- n}$ is the sequence A348410 in the Encyclopedia of Integer Sequences. Using a method from Hautus and Klarner from 1971 and the software \textsf{Gfun}…

math.CO2026

Letters of a given type in Catalan words: A continued fraction approach

Helmut Prodinger

Generating functions related to Catalan words and frequencies of digits are obtained using continued fractions. This is fast, elegant, and flexible. It follows the philosophy of Ph…