Geodesic
Enumeration of standard Young tableaux of shifted strips with constant width
Ping Sun1
1Northeastern University, P.R.China
The electronic journal of combinatorics, Tome 24 (2017) no. 2
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Let $g_{n_1,n_2}$ be the number of standard Young tableau of truncated shifted shape with $n_1$ rows and $n_2$ boxes in each row. By using the integral method this paper derives the recurrence relations of $g_{3,n}$, $g_{n,4}$ and $g_{n,5}$ respectively. Specifically, $g_{n,4}$ is the $(2n-1)$-st Pell number.
DOI : 10.37236/6466
Classification : 05D40, 05A15
Mots-clés : standard Young tableau, multiple integration, recurrence, Pell numbers

Ping Sun  1

1 Northeastern University, P.R.China 
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     author = {Ping Sun},
     title = {Enumeration of standard {Young} tableaux of shifted strips with constant width},
     journal = {The electronic journal of combinatorics},
     year = {2017},
     volume = {24},
     number = {2},
     doi = {10.37236/6466},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/6466/}
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Ping Sun. Enumeration of standard Young tableaux of shifted strips with constant width. The electronic journal of combinatorics, Tome 24 (2017) no. 2. doi: 10.37236/6466

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