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Number of permutations of [n] such that no cycle contains its length as an element.
5

%I #13 Jul 23 2023 17:02:34

%S 1,0,0,1,4,24,138,1032,8160,75600,751680,8436960,100679040,1327052160,

%T 18525024000,280451808000,4477627123200,76690072166400,

%U 1377634946688000,26328977260185600,525869478021888000,11092929741653760000,243781091314016256000,5628622656645660672000

%N Number of permutations of [n] such that no cycle contains its length as an element.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Permutation">Permutation</a>

%e a(3) = 1: (13)(2).

%e a(4) = 4: (124)(3), (142)(3), (13)(2)(4), (14)(2)(3).

%Y Cf. A362362, A363881, A364279, A364406.

%K nonn

%O 0,5

%A _Alois P. Heinz_, Jul 17 2023