Perimeter of an ascent sequence

Toufik Mansour

doi:10.2298/FIL2527601M

Perimeter of an ascent sequence

Toufik Mansour

Department of Mathematics

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

Abstract

We present an explicit formula for the generating function of the number of ascent sequences of length n according to the half perimeter. As consequence, we present an explicit formula for the generating function of the number of ascent sequences of length n according to the length of the initial longest increasing subword.

Original language	English
Pages (from-to)	9601-9607
Number of pages	7
Journal	Filomat
Volume	39
Issue number	27
DOIs	https://doi.org/10.2298/FIL2527601M
State	Published - 2025

Bibliographical note

Publisher Copyright:
© 2025, University of Nis. All rights reserved.

Keywords

Ascent sequences
Generating functions
Kernel method, Perimeter
Longest initial increasing subword

ASJC Scopus subject areas

General Mathematics

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10.2298/FIL2527601M

Cite this

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title = "Perimeter of an ascent sequence",

abstract = "We present an explicit formula for the generating function of the number of ascent sequences of length n according to the half perimeter. As consequence, we present an explicit formula for the generating function of the number of ascent sequences of length n according to the length of the initial longest increasing subword.",

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author = "Toufik Mansour",

year = "2025",

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PY - 2025

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AB - We present an explicit formula for the generating function of the number of ascent sequences of length n according to the half perimeter. As consequence, we present an explicit formula for the generating function of the number of ascent sequences of length n according to the length of the initial longest increasing subword.

KW - Ascent sequences

KW - Generating functions

KW - Kernel method, Perimeter

KW - Longest initial increasing subword

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U2 - 10.2298/FIL2527601M

DO - 10.2298/FIL2527601M

M3 - Article

AN - SCOPUS:105021800612

SN - 0354-5180

VL - 39

SP - 9601

EP - 9607

JO - Filomat

JF - Filomat

IS - 27

ER -

Perimeter of an ascent sequence

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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