Title of article
Two integer sequences related to Catalan numbers
Author/Authors
Lassalle، نويسنده , , Michel، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
13
From page
923
To page
935
Abstract
We prove the following conjecture of Zeilberger. Denoting by C n the Catalan number, define inductively A n by ( − 1 ) n − 1 A n = C n + ∑ j = 1 n − 1 ( − 1 ) j ( 2 n − 1 2 j − 1 ) A j C n − j and a n = 2 A n / C n . Then a n (hence A n ) is a positive integer.
Keywords
Continued fractions , Catalan number , Integer sequence , symmetric functions
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2012
Journal title
Journal of Combinatorial Theory Series A
Record number
1531771
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