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A102060 Expansion of e.g.f. tan(arcsinh(x)) = cot(arccosh(x)). 1
1, 1, 5, 5, 1865, -111575, 15280525, -2577345875, 591476692625, -172699076899375, 62926850998383125, -27954459594642936875, 14878753146153329265625, -9347233537301419814234375 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

With changed signs, expansion of e.g.f. tanh(arcsin(x)).

LINKS

Muniru A Asiru, Table of n, a(n) for n = 1..60

FORMULA

a(n) ~ (-1)^(n+1) * 2^(2*n) * n^(2*n-2) / ((cosh(Pi)+1)*exp(2*n)). - Vaclav Kotesovec, Oct 23 2013

EXAMPLE

tan(arcsinh(x)) = x + x^3/3! + 5x^5/5! + 5x^7/7! + 1865x^9/9! - ...

MAPLE

seq(coeff(series(factorial(n)*tan(arcsinh(x)), x, n+1), x, n), n=1..30, 2); # Muniru A Asiru, Jul 22 2018

MATHEMATICA

Table[n!*SeriesCoefficient[Tan[ArcSinh[x]], {x, 0, n}], {n, 1, 40, 2}] (* Vaclav Kotesovec, Oct 23 2013 *)

CROSSREFS

Sequence in context: A195567 A051716 A226260 * A102058 A231409 A329001

Adjacent sequences:  A102057 A102058 A102059 * A102061 A102062 A102063

KEYWORD

sign

AUTHOR

Ralf Stephan, Dec 28 2004

STATUS

approved

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Last modified November 17 06:06 EST 2019. Contains 329217 sequences. (Running on oeis4.)