login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A124213 Expansion of e.g.f.: exp(exp(x)/sqrt(2-exp(2*x))-1). 2
1, 2, 12, 112, 1408, 22144, 417216, 9148416, 228649472, 6412193280, 199301663744, 6798026395648, 252397715738624, 10131114555244544, 437100940892913664, 20169428831476678656, 991081906535967948800, 51662621871173444698112, 2847287574653833612623872 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Exponential transform of A124212.
LINKS
FORMULA
E.g.f.: exp(exp(x)/sqrt(2-exp(2*x))-1).
a(n) ~ 2^(n + 1/6) * exp(3*n^(1/3)/(2^(2/3) * log(2)^(1/3)) - n - 1) * n^(n - 1/3) / (sqrt(3) * log(2)^(n + 1/6)). - Vaclav Kotesovec, Jun 26 2022
MATHEMATICA
With[{nmax = 50}, CoefficientList[Series[Exp[Exp[x]/Sqrt[2 - Exp[2*x]] - 1], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Sep 27 2018 *)
PROG
(PARI) x='x+O('x^30); Vec(serlaplace(exp(exp(x)/sqrt(2-exp(2*x))-1))) \\ G. C. Greubel, Sep 27 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(Exp(x)/Sqrt(2-Exp(2*x))-1))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Sep 27 2018
CROSSREFS
Cf. A124212.
Sequence in context: A218222 A355112 A292187 * A365558 A143134 A214225
KEYWORD
nonn
AUTHOR
Karol A. Penson, Oct 19 2006
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)