On the eulerian numbers <mml:math display="inline" altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munder><mml:mrow><mml:mi>max</mml:mi><mml:mo>⁡</mml:mo></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>⩽</mml:mo><mml:mi>k</mml:mi><mml:mo>⩽</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:munder><mml:mo lspace=".3em" mathvariant="italic">A</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>-Reference-Cited by-同舟云学术

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On the eulerian numbers Mn=max⁡1⩽k⩽nA(n,k)

Published:1992-09 Issue:5 Volume:13 Page:379-399
ISSN:0195-6698
Container-title:European Journal of Combinatorics
language:en
Short-container-title:European Journal of Combinatorics

Author:

Lesieur L.,Nicolas J.-L.

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics

Reference16 articles.

1. Central and local limit theorem applied to asymptotic enumeration;Bender;J. Combin. Theory, Ser. A,1973

2. Asymptotic properties of eulerians numbers;Carlitz;Z. Wahrscheinlichkeitstheorie,1972

3. Analyse Combinatorire, tomes 1 et 2;Comtet,1970

4. M. Contessa. On the Hilbert-Kunz function, paper in preparation, Dipartimento di Matematica, Università di Palermo, Italia.

5. Symmetric Functions and Allied Tables;David,1968

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4. Stirling, bell, bernoulli, euler and eulerian numbers;Handbook of Number Theory II;2004

5. A study of Eulerian numbers by means of an operator on permutations;European Journal of Combinatorics;2003-01

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