Geodesic
Infinite products arising in paperfolding
Journal of integer sequences, Tome 19 (2016) no. 5
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},
     year = {2016},
     volume = {19},
     number = {5},
     zbl = {1415.11058},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_5_a3/}
}
TY  - JOUR
AU  - Almodovar,  Leyda
AU  - Moll,  Victor H.
AU  - Quan,  Hadrian
AU  - Roman,  Fernando
AU  - Rowland,  Eric
AU  - Washington,  Michole
TI  - Infinite products arising in paperfolding
JO  - Journal of integer sequences
PY  - 2016
VL  - 19
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/JIS_2016__19_5_a3/
LA  - en
ID  - JIS_2016__19_5_a3
ER  - 
%0 Journal Article
%A Almodovar,  Leyda
%A Moll,  Victor H.
%A Quan,  Hadrian
%A Roman,  Fernando
%A Rowland,  Eric
%A Washington,  Michole
%T Infinite products arising in paperfolding
%J Journal of integer sequences
%D 2016
%V 19
%N 5
%U http://geodesic.mathdoc.fr/item/JIS_2016__19_5_a3/
%G en
%F JIS_2016__19_5_a3
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/