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 A012263 Expansion of e.g.f. exp(arctanh(arctanh(x))). 2
 1, 1, 1, 5, 17, 129, 769, 7797, 66849, 848481, 9506241, 145041093, 2007271089, 35799178401, 589807203777, 12045448529397, 230194642564161, 5298881528389185, 115219444193968257, 2952169020073027845 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS G. C. Greubel, Table of n, a(n) for n = 0..430 EXAMPLE E.g.f. = 1 + x + x^2/2! + 5*x^3/3! + 17*x^4/4! + 129*x^5/5! + ... MAPLE seq(coeff(series(factorial(n)*exp(arctanh(arctanh(x))), x, n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 28 2018 MATHEMATICA With[{nn=30}, CoefficientList[Series[Exp[ArcTanh[ArcTanh[x]]], {x, 0, nn}], x] Range[0, nn]!] (* Ray Chandler, Nov 28 2016 *) PROG (PARI) x='x+O('x^30); Vec(serlaplace(exp(atanh(atanh(x))))) \\ G. C. Greubel, Oct 28 2018 (MAGMA) m:=30; R:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Exp(Argtanh(Argtanh(x))) )); [Factorial(n-1)*b[n]: n in [1..m-1]]; // G. C. Greubel, Oct 28 2018 CROSSREFS Sequence in context: A012259 A256459 A113936 * A076448 A096310 A236530 Adjacent sequences:  A012260 A012261 A012262 * A012264 A012265 A012266 KEYWORD nonn AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) STATUS approved

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Last modified January 18 17:18 EST 2022. Contains 350455 sequences. (Running on oeis4.)