Geodesic
Continued fractions and transformations of integer sequences
Journal of integer sequences, Tome 12 (2009) no. 7
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: integer sequence, riordan array, continued fraction, generating function, linear transformation, deleham construction 
@article{JIS_2009__12_7_a1,
     author = {Barry,  Paul},
     title = {Continued fractions and transformations of integer sequences},
     journal = {Journal of integer sequences},
     year = {2009},
     volume = {12},
     number = {7},
     zbl = {1201.11033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_7_a1/}
}
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Barry,  Paul. Continued fractions and transformations of integer sequences. Journal of integer sequences, Tome 12 (2009) no. 7. http://geodesic.mathdoc.fr/item/JIS_2009__12_7_a1/