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2018, vol. 42, br. 1, str. 7-14
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A representation for derangement numbers in terms of a tridiagonal determinant
(naslov ne postoji na srpskom)
aInstitute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, China + College of Mathematics Inner, Mongolia University for Nationalities, Tongliao City,
Inner Mongolia Autonomous Region, China + Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China bDepartment of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China cSchool of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, China
e-adresa: qifeng618@gmail.com, jing-lin.wang@hotmail.com, bai.ni.guo@hotmail.com
Ključne reči: derangement number; determinantal representation; tridiagonal determinant; generating function; identity; recurrence formula
Sažetak
(ne postoji na srpskom)
In the paper, the authors discover a representation for the derangement numbers in terms of a tridiagonal determinant. From the determinantal representation, the authors recover several identities and recurrence relations of the derangement numbers.
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