✦ LIBER ✦

A note on similarity relations

✍ Scribed by Volker Strehl

Publisher: Elsevier Science
Year: 1977
Tongue: English
Weight: 287 KB
Volume: 19
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(77)90124-8

No coin nor oath required. For personal study only.

✦ Synopsis

A simple proof is given for the fact that the number of nonsingular similarity relations on (1,2,... n), for which the transitive closure consists of k blocks, equals ("*;'_i-') -(2"-fh -'), 1, =G k s n/2. In particular, this implies a recent result of Shapiro about Catalan numbers and Fine's Jequence.

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