Barry, Paul

Continued fractions and transformations of integer sequences

J. Integer Seq. 12(7), Article ID 09.7.6, 37 p., electronic only (2009)

Summary

Summary: We show how various transformations of integer sequences, normally realized by Riordan or generalized Riordan arrays, can be translated into continued fraction form. We also examine the Deleham number triangle construction using bi-variate continued fractions, giving examples from the field of associahedra.

Keywords/Phrases

integer sequence, riordan array, continued fraction, generating function, linear transformation, deleham construction

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