A280781 Denominators of coefficients in asymptotic expansion of S_n (number of simple permutations, A111111).

1, 1, 1, 3, 3, 15, 45, 315, 63, 2835, 14175, 22275, 467775, 1216215, 42567525, 638512875, 638512875, 834978375, 558242685, 1856156927625, 713906510625, 17717861581875, 2143861251406875, 9861761756471625, 147926426347074375, 75472666503609375, 48076088562799171875

Offset

0,4

Comments

Has the same start as A046983 but is a different sequence.

Links

Gheorghe Coserea, Table of n, a(n) for n = 0..100

Michael Borinsky, Generating asymptotics for factorially divergent sequences, arXiv preprint arXiv:1603.01236 [math.CO], 2016.

Example

Coefficients are 1, -4, 2, -40/3, -182/3, -7624/15, -202652/45, -14115088/315, -30800534/63, -16435427656/2835, ...

Prog

(PARI)
seq(N) = {
  my(f = serreverse(x*Ser(vector(N, n, n!))));
  Vec(x* f'/f * exp(2 + (f-x)/(x*f)));
};
apply(denominator, seq(28))  \\ Gheorghe Coserea, Jan 22 2017

Crossrefs

Cf. A000699, A280775, A111111, A280777, A280778, A280779, A280780.

Cf. also A046983.

Sequence in context: A078631 A352802 A160639 * A046983 A067655 A209430

Adjacent sequences: A280778 A280779 A280780 * A280782 A280783 A280784

Keyword

nonn,frac

Author

N. J. A. Sloane, Jan 19 2017

Extensions

More terms from Gheorghe Coserea, Jan 22 2017

Status

approved