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A280781
Denominators of coefficients in asymptotic expansion of S_n (number of simple permutations, A111111).
7
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
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
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Jan 19 2017
EXTENSIONS
More terms from Gheorghe Coserea, Jan 22 2017
STATUS
approved