Enumeration of standard Young tableaux of shifted strips with constant width

2015/06/24 by Ping Sun, Sun, Ping
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.1506.07256

openalex publication_date 2015/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Let g_n1,n2 be the number of standard Young tableau of truncated shifted shape with n₁ rows and n₂ boxes in each row. By using of the integral method this paper derives the recurrence relations of g_3,n, g_n,4 and g_n,5 respectively. Specially, g_n,4 is the (2n-1)-st Pell number.

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