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

Author

N. J. A. Sloane, Jan 19 2017

Keywords

• nonn
• frac

Comments

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

Examples

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

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.

Crossrefs

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

Cf. also A046983.

Programs

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

Extensions

More terms from Gheorghe Coserea, Jan 22 2017