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 A012047 arcsinh(sin(tanh(x)))=x-4/3!*x^3+76/5!*x^5-3536/7!*x^7+317392/9!*x^9... 1
 1, -4, 76, -3536, 317392, -47590720, 10785422272, -3441103532288, 1468657322465536, -807408622401283072, 555453404529224756224, -467352773254586231115776, 472081158536303158224572416 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..212 FORMULA a(n) ~ c * (-1)^n * (2*n)! / (sqrt(n) * (arctan(arcsinh(1)))^(2*n)), where c = 1.0522205751764250070089302438417471228756... . - Vaclav Kotesovec, Feb 04 2015 MATHEMATICA nn = 20; Table[(CoefficientList[Series[ArcSinh[Sin[Tanh[x]]], {x, 0, 2*nn+1}], x] * Range[0, 2*nn+1]!)[[n]], {n, 2, 2*nn, 2}] (* Vaclav Kotesovec, Feb 04 2015 *) CROSSREFS Sequence in context: A024258 A012101 A012080 * A012010 A012155 A350489 Adjacent sequences: A012044 A012045 A012046 * A012048 A012049 A012050 KEYWORD sign AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) STATUS approved

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Last modified March 26 04:58 EDT 2023. Contains 361529 sequences. (Running on oeis4.)