Journal of Integer Sequences, Vol. 28 (2025), Article 25.6.4

Identities for Permutations with Fixed Points


Jean-Christophe Pain
CEA, DAM, DIF
F-91297 Arpajon
France
and
Université Paris-Saclay
CEA, Laboratoire Matière en Conditions Extrêmes
F-91680 Bruyères-le-Châtel
France

Abstract:

We present identities for permutations with fixed points. The formulas are based on successive derivations or integrations of the determinant of a particular matrix.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A000166 A008290.)

Received September 5 2025; revised versions received September 6 2025; October 24 2025; October 27 2025. Published in Journal of Integer Sequences, October 28 2025.

Return to Journal of Integer Sequences home page