✦ LIBER ✦

The Tennis Ball Problem

✍ Scribed by D. Merlini; R. Sprugnoli; M.C. Verri

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 497 KB
Volume: 99
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.2002.3273

No coin nor oath required. For personal study only.

✦ Synopsis

Mallows and Shapiro, (J. Integer Sequences 2 (1999)) have recently considered what they dubbed the problem of balls on the lawn. Our object is to explore a natural generalization, the s-tennis ball problem, which reduces to that considered by Mallows and Shapiro in the case s ¼ 2: We show how this generalization is connected with sary trees, and employ the notion of generating trees to obtain a solution expressed in terms of generating functions.

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