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A078487 G.f.: (1-9*x+29*x^2-30*x^3+10*x^4-x^5-(1-6*x+x^2)^(1/2)*(1-6*x+13*x^2-7*x^3+x^4))/(2*x). 1

%I

%S 0,1,2,6,23,100,464,2236,11048,55588,283648,1463868,7626296,40049188,

%T 211768752,1126513788,6024316488,32368294756,174645900768,

%U 945893037948,5140619493464,28024941448420,153219244012432,839884005112636,4615012956649832,25415266785076900

%N G.f.: (1-9*x+29*x^2-30*x^3+10*x^4-x^5-(1-6*x+x^2)^(1/2)*(1-6*x+13*x^2-7*x^3+x^4))/(2*x).

%C Generating function for a certain wreath product.

%H Vincenzo Librandi, <a href="/A078487/b078487.txt">Table of n, a(n) for n = 0..1000</a>

%H M. D. Atkinson and T. Stitt, <a href="http://www.cs.otago.ac.nz/staffpriv/mike/Papers/WreathProduct/Wreathpaper.pdf">Restricted permutations and the wreath product</a>, Preprint, 2002.

%H M. D. Atkinson and T. Stitt, <a href="http://dx.doi.org/10.1016/S0012-365X(02)00443-0">Restricted permutations and the wreath product</a>, Discrete Math., 259 (2002), 19-36.

%t CoefficientList[Series[(1 - 9 x + 29 x^2 - 30 x^3 + 10 x^4 - x^5 - (1 - 6 x + x^2)^(1/2) (1 - 6 x + 13 x^2 - 7 x^3 + x^4))/(2 x), {x, 0, 33}], x] (* _Vincenzo Librandi_, May 28 2016 *)

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Jan 04 2003

%E Replaced definition with g.f. given by Atkinson and Still (2002). - _N. J. A. Sloane_, May 24 2016

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Last modified September 24 03:26 EDT 2021. Contains 347623 sequences. (Running on oeis4.)