Naj bo ▫$p$▫ permutacija množice ▫$\mathbb{N}_n = \{1, 2, \dots , n\}$▫. Vpeljemo tehnike za določitev števila ▫$N(n; k, r, I; \pi)$▫, števila sodih ali lihih omejenih permutacij ▫$\mathbb{N}_n$▫, ki ...zadoščajo pogojem ▫$-k \le p(i) - i \le r$▫ (za poljubni naravni števili ▫$k$▫ in ▫$r$▫), ▫$p(i) - i \notin I$▫ (za neko množico ▫$I$▫) in ▫$\pi = 0$▫ za sode permutacije in ▫$\pi = 1$▫ za lihe permutacije.
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