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Interdisciplinary Information Sciences
Article . 2012 . Peer-reviewed
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Interdisciplinary Information Sciences
Article
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Preprint . 2011
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Interdisciplinary Information Sciences
Article
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https://dx.doi.org/10.48550/ar...
Article . 2011
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https://arxiv.org/pdf/1101.157...
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A Note on Super Catalan Numbers

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2012Embargo end date: 01 Jan 2011 English Publisher:Graduate School of Information Sciences, Tohoku UniversityJournal:Interdisciplinary Information Sciences, volume 18, pages 23-24 (issn: 1340-9050, eissn: 1347-6157, Copyright policy )
Authors: Evangelos Georgiadis; Hajime Tanaka; Akihiro Munemasa;

doi: 10.4036/iis.2012.23 , 10.48550/arxiv.1101.1579

arXiv: http://arxiv.org/abs/1101.1579

A Note on Super Catalan Numbers

Abstract

We show that the super Catalan numbers are special values of the Krawtchouk polynomials by deriving an expression for the super Catalan numbers in terms of a signed set.

4 pages. Revised and Accepted. To appear in Interdisciplinary Information Sciences (IIS)

Related Organizations
Keywords

05A10, 05A19, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 3
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
gold