Barnabei, Marilena ; Bonetti, Flavio ; Silimbani, Matteo
(2008)
Combinatorial properties of the numbers of
tableaux of bounded height.
[Preprint]
Full text available as:
Abstract
We introduce an infinite family of lower triangular matrices ¡(s), where
°s
n;i counts the standard Young tableaux on n cells and with at most
s columns on a suitable subset of shapes. We show that the entries
of these matrices satisfy a three-term row recurrence and we deduce
recursive and asymptotic properties for the total number ¿s(n) of
tableaux on n cells and with at most s columns.
Abstract
We introduce an infinite family of lower triangular matrices ¡(s), where
°s
n;i counts the standard Young tableaux on n cells and with at most
s columns on a suitable subset of shapes. We show that the entries
of these matrices satisfy a three-term row recurrence and we deduce
recursive and asymptotic properties for the total number ¿s(n) of
tableaux on n cells and with at most s columns.
Document type
Preprint
Creators
Keywords
Tabelle di Young, combinatoria enumerativa
Subjects
DOI
Deposit date
28 Mar 2008
Last modified
16 May 2011 12:07
URI
Other metadata
Document type
Preprint
Creators
Keywords
Tabelle di Young, combinatoria enumerativa
Subjects
DOI
Deposit date
28 Mar 2008
Last modified
16 May 2011 12:07
URI
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