Inverse relations in Shapiro's open questions

被引:0
|
作者
Kim, Lk-Pyo [1 ]
Tsatsomeros, Michael J. [2 ]
机构
[1] Daegu Univ, Dept Math Educ, Gyeongbuk 38453, South Korea
[2] Washington State Univ, Dept Math & Stat, Pullman, WA 99164 USA
关键词
Riordan matrix; Semi-Riordan matrix; Catalan number; Motzkin number; RIORDAN GROUP; INVARIANT SEQUENCES; INVOLUTIONS;
D O I
10.1016/j.disc.2017.11.011
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
As an inverse relation, involution with an invariant sequence plays a key role in combinatorics and features prominently in some of Shapiro's open questions (Shapiro, 2001). In this paper, invariant sequences are used to provide answers to some of these questions about the Fibonacci matrix and Riordan involutions. (C) 2017 Elsevier B.V. All rights reserved.
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页码:691 / 700
页数:10
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