Journal of Integer Sequences, Vol. 12 (2009), Article 09.7.6

Continued Fractions and Transformations of Integer Sequences


Paul Barry
School of Science
Waterford Institute of Technology
Ireland

Abstract:

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.

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(Concerned with sequences A000108 A000984 A001006 A001850 A002426 A006318 A006319 A023431 A026418 A033282 A063007 A084938 A086581 A086615 A086616 A088617 A088874 A090181 A090344 A098479 A101499 A105864 A124644 A131198.)

Received July 7 2009; revised version received November 2 2009. Published in Journal of Integer Sequences, November 4 2009.

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