Geodesic
Two properties of Catalan-Larcombe-French numbers
Journal of integer sequences, Tome 19 (2016) no. 3.

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

Summary: Let $(P_{n})$ be the Catalan-Larcombe-French numbers. The numbers $P_{n}$ occur in the theory of elliptic integrals, and are related to the arithmetic-geometric-mean. In this paper we investigate the properties of the related sequence $S_{n} = P_{n}/2^{n}$ instead, since $(S_{n})$ is an Apéry-like sequence. We prove a congruence and an inequality for $P_{$n$.$
Classification : 11A07, 05A10, 05A19, 05A20
Keywords: congruence, inequality, Catalan-larcombe-French number 
@article{JIS_2016__19_3_a2,
     author = {Ji, Xiao-Juan and Sun, Zhi-Hong},
     title = {Two properties of {Catalan-Larcombe-French} numbers},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_3_a2/}
}
TY  - JOUR
AU  - Ji, Xiao-Juan
AU  - Sun, Zhi-Hong
TI  - Two properties of Catalan-Larcombe-French numbers
JO  - Journal of integer sequences
PY  - 2016
VL  - 19
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2016__19_3_a2/
LA  - en
ID  - JIS_2016__19_3_a2
ER  - 
%0 Journal Article
%A Ji, Xiao-Juan
%A Sun, Zhi-Hong
%T Two properties of Catalan-Larcombe-French numbers
%J Journal of integer sequences
%D 2016
%V 19
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2016__19_3_a2/
%G en
%F JIS_2016__19_3_a2
Ji, Xiao-Juan; Sun, Zhi-Hong. Two properties of Catalan-Larcombe-French numbers. Journal of integer sequences, Tome 19 (2016) no. 3. http://geodesic.mathdoc.fr/item/JIS_2016__19_3_a2/