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.
@article{661, title = {Counting of even and odd restricted permutations}, journal = {ARS MATHEMATICA CONTEMPORANEA}, volume = {9}, year = {2014}, doi = {10.26493/1855-3974.661.ab7}, language = {EN}, url = {http://dml.mathdoc.fr/item/661} }
Baltić, Vladimir; Stevanović, Dragan. Counting of even and odd restricted permutations. ARS MATHEMATICA CONTEMPORANEA, Tome 9 (2014) . doi : 10.26493/1855-3974.661.ab7. http://gdmltest.u-ga.fr/item/661/