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A013520 A problem in derangements. 0

%I #11 Dec 22 2014 02:53:22

%S 0,2,9,100,1237,18896,337663,6941194,161357425,4186540456,

%T 119942830785,3761004532550,128121728853479,4711881688294652,

%U 186065500280409423,7852240169544076190,352684377274345906213,16798134072300013751064

%N A problem in derangements.

%H Frank Schmidt and Rodica Simion, <a href="http://dx.doi.org/10.1007/BF01834201">Card shuffling and a transformation on S_n</a>, Aequationes Math. 44 (1992), no. 1, 11-34.

%F The reference gives a generating function.

%p a := n->simplify((n-1)!*sum(n^k/k!,k=0..n-1)-2*(n-1)^(n-1)): b := simplify(x^2+sum(a(n)*x^n/n!,n=3..70)): f := simplify(exp(b)): fser := simplify(series(f,x=0,27)): s := seq(simplify(n!*coeff(fser,x^n)),n=1..25); # _Emeric Deutsch_, Mar 09 2004

%K nonn

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Emeric Deutsch_, Mar 09 2004

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)