SOME NEW SEQUENCES GENERALIZING THE CATALAN AND MOTZKIN NUMBERS

被引：65

作者：

STEIN, PR

WATERMAN, MS

机构：

[1] University of California, Los Alamos

来源：

DISCRETE MATHEMATICS | 1979年 / 26卷 / 03期

关键词：

D O I：

10.1016/0012-365X(79)90033-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some new sequences are introduced which satisfy quadratic recurrence rules similar to those satisfied by the classical Catalan numbers and the less well-known Motzkin numbers. For each sequence the general term is expressed as a sum of products of Catalan numbers and generalized Fibonacci numbers. In addition, first-order asymptotic formulae are given for the most interesting cases. © 1979.

引用

页码：261 / 272

页数：12