Geodesic
Counting of even and odd restricted permutations
Ars Mathematica Contemporanea, Tome 10 (2016) no. 1, pp. 9-18.

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Let p be a permutation of the set Nn = {1, 2, …, n}. We introduce techniques for counting N(n; k; r; I; π), the number of even or odd restricted permutations of Nn satisfying the conditions  − k ≤ p(i) − i ≤ r (for arbitrary natural numbers k and r) and p(i) − i ∉ I (for some set I) and π = 0 for even permutations and π = 1 for odd permutations.
DOI : 10.26493/1855-3974.661.ab7
Keywords: Even and odd restricted permutations, exact enumeration, recurrences, permanents. 
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Vladimir Baltić; Dragan Stevanović. Counting of even and odd restricted permutations. Ars Mathematica Contemporanea, Tome 10 (2016) no. 1, pp. 9-18. doi : 10.26493/1855-3974.661.ab7. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.661.ab7/

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