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ERIC Number: EJ886976
Record Type: Journal
Publication Date: 2010-May
Pages: 6
Abstractor: ERIC
Reference Count: 2
ISSN: ISSN-0025-5769
Enumeration of Rectangles in a Tableau Shape
Mingus, Tabitha T. Y.; Grassl, Richard M.; Diaz, Ricardo; Andrew, Lane; Parker, Frieda
Mathematics Teacher, v103 n9 p693-698 May 2010
This article analyzes the challenge of counting the number of rectangles of all sizes in the n-tableau and to provide a combinatorial reason for the answer. The authors present a solution on enumerating rectangles in the n-tableau using Grassl and Mingus results. The authors demonstrate their conjecture for the n-tableau and attempt to apply their rule of work for tableaus of other sizes. The authors stress that several interesting combinatorial identities are by-products of their rectangle count. (Contains 9 figures and 2 tables.)
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A