Geodesic
Infinite products arising in paperfolding
Journal of integer sequences, Tome 19 (2016) no. 5.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: J.-P. Allouche recently examined two infinite products where the term is a rational function of the index $n$ raised to the term of the paperfolding sequence $\epsilon _{n}$. A closed form is given only for one of them. We discuss an attempt to produce the missing closed form. We give a detailed analysis of convergence and a closed form for the analogous question, where the paperfolding sequence is replaced by a periodic one.
Classification : 11B85, 33B15, 40A20
Keywords: infinite product, gamma function, paperfolding sequence 
@article{JIS_2016__19_5_a3,
     author = {Almodovar, Leyda and Moll, Victor H. and Quan, Hadrian and Roman, Fernando and Rowland, Eric and Washington, Michole},
     title = {Infinite products arising in paperfolding},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {5},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_5_a3/}
}
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Almodovar, Leyda; Moll, Victor H.; Quan, Hadrian; Roman, Fernando; Rowland, Eric; Washington, Michole. Infinite products arising in paperfolding. Journal of integer sequences, Tome 19 (2016) no. 5. http://geodesic.mathdoc.fr/item/JIS_2016__19_5_a3/