Major index and inversion number of permutations. (English) Zbl 0319.05002
MSC:
| 05A05 | Permutations, words, matrices |
| 20B99 | Permutation groups |
| 20C30 | Representations of finite symmetric groups |
| 11B39 | Fibonacci and Lucas numbers and polynomials and generalizations |
| 05A15 | Exact enumeration problems, generating functions |
Online Encyclopedia of Integer Sequences:
a(n) = n! * n(n-1)/4.The number of fixed points in S_n by the action of Foata’s bijection.
The number of orbits in S_n by the action of Foata’s bijection.
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