|
%I #15 Feb 22 2024 02:14:18
%S 1,0,8,32,384,2560,22528,172032,1409024,11141120,89653248,715128832,
%T 5729419264,45801799680,366548615168,2931852050432,23456963887104,
%U 187647121162240,1501211329036288,12009553193336832,96076975302508544
%N Ways to write the identity as a product of n 3-cycles in symmetric group S_4.
%H Flavien Mabilat, <a href="https://arxiv.org/abs/2402.09968">Some counting formulas for λ-quiddities over the rings Z / 2^m Z</a>, arXiv:2402.09968 [math.CO], 2024.
%F a(n+1) = (2/3)*(-1)^n*((-8)^n-4^n).
%F O.g.f.: 1 - 8*x^2/(32*x^2+4*x-1).
%F a(n) = 8 * A091904(n-1). - _R. J. Mathar_, Jun 28 2009
%Y Cf. A091904.
%K easy,nonn
%O 0,3
%A _Jacob A. Siehler_, Apr 07 2009
%E Offset corrected by _R. J. Mathar_, Jun 28 2009
%E Offset changed back and a(0) = 1 prepended by _Andrey Zabolotskiy_, Feb 21 2024
|
