The rook numbers of Ferrers boards and the related restricted permutation numbers

DOI10.1016/S0378-3758(01)00151-3zbMath0993.05006OpenAlexW2015179407MaRDI QIDQ1347964

Charalambos A. Charalambides

Publication date: 15 May 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(01)00151-3

zbMATH Keywords

finite differencenumber of permutationsrooksFerrers boardtrapezoidal and Newcomb boards

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10)

Related Items (1)

An asymptotic distribution theory for Eulerian recurrences with applications

Cites Work

• Rook theory and hypergeometric series
• On the differences of the generalized factorials at an arbitrary point and their combinatorial applications
• Non-central Stirling numbers and some applications
• The problem of the rooks and its applications
• Review of the stirling numbers, their generalizations and Statistical Applications
• Permutations and sequences with repetitions by number of increases
• Rook Theory. I.: Rook Equivalence of Ferrers Boards
• Rook Theory. II: Boards of Binomial Type
• A New Kind of Numbers Appearing in the n-Fold Convolution of Truncated Binomial and Negative Binomial Distributions
• Rook Theory-IV. Orthogonal Sequences of Rook Polynomials
• Some Properties and Applications of the Differences of the Generalized Factorials
• Simon Newcomb’s Problem
• The Cumulative Numbers and Their Polynomials
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