Geodesic
A Representation for Derangement Numbers in Terms of a Tridiagonal Determinant
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 1, p. 7

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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.
Classification : 11B83 05A05, 05A10, 05A15, 11B37, 11B65, 11C20, 15A15
Keywords: Derangement number, determinantal representation, tridiagonal determinant, generating function, identity, recurrence formula 
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     author = {Feng Qi and Jing-Lin Wang and Bai-Ni Guo},
     title = {A {Representation} for {Derangement} {Numbers} in {Terms} of a {Tridiagonal} {Determinant}},
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Feng Qi; Jing-Lin Wang; Bai-Ni Guo. A Representation for Derangement Numbers in Terms of a Tridiagonal Determinant. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 1, p. 7 . http://geodesic.mathdoc.fr/item/KJM_2018_42_1_a0/