On the g-Ary expansions of middle binomial coefficients and catalan numbers

Florian Luca; Igor E. Shparlinski

doi:10.1216/RMJ-2011-41-4-1291

On the g-Ary expansions of middle binomial coefficients and catalan numbers

Florian Luca^*, Igor E. Shparlinski

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Let Mathematical equation representative be the nth middle binomial coefficient and the nth Catalan number, respectively. Let g > 1 be an integer. In this note, we study the base g expansions of the numbers b _n and c_n and show that for almost all n each of them has a lot of nonzero digits.

Original language	English
Pages (from-to)	1291-1301
Number of pages	11
Journal	Rocky Mountain Journal of Mathematics
Volume	41
Issue number	4
DOIs	https://doi.org/10.1216/RMJ-2011-41-4-1291
Publication status	Published - 2011

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10.1216/RMJ-2011-41-4-1291

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title = "On the g-Ary expansions of middle binomial coefficients and catalan numbers",

abstract = "Let Mathematical equation representative be the nth middle binomial coefficient and the nth Catalan number, respectively. Let g > 1 be an integer. In this note, we study the base g expansions of the numbers b n and cn and show that for almost all n each of them has a lot of nonzero digits.",

author = "Florian Luca and Shparlinski, \{Igor E.\}",

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T1 - On the g-Ary expansions of middle binomial coefficients and catalan numbers

AU - Luca, Florian

AU - Shparlinski, Igor E.

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AB - Let Mathematical equation representative be the nth middle binomial coefficient and the nth Catalan number, respectively. Let g > 1 be an integer. In this note, we study the base g expansions of the numbers b n and cn and show that for almost all n each of them has a lot of nonzero digits.

UR - https://www.scopus.com/pages/publications/80053936439

U2 - 10.1216/RMJ-2011-41-4-1291

DO - 10.1216/RMJ-2011-41-4-1291

M3 - Article

AN - SCOPUS:80053936439

SN - 0035-7596

VL - 41

SP - 1291

EP - 1301

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 4

ER -

On the g-Ary expansions of middle binomial coefficients and catalan numbers

Abstract

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