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 A012318 tan(arcsin(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+32/4!*x^4+240/5!*x^5... 0
 0, 1, 2, 6, 32, 240, 2000, 19656, 221888, 2846784, 40430848, 632914304, 10802538496, 199980939392, 3985563555584, 85138224664832, 1939700554334208, 46962544699670528, 1203843275552612352 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..18. FORMULA a(n) ~ n! / ((Pi/2 + exp(r)/sqrt(1-r^2)) * r^(n+1)), where r = 0.70212550839123612037106419625287862875439228120419... is the root of the equation arcsin(r)*exp(r) = Pi/2. - Vaclav Kotesovec, Feb 06 2015 MATHEMATICA CoefficientList[Series[Tan[E^x*ArcSin[x]], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Feb 06 2015 *) CROSSREFS Sequence in context: A111550 A261398 A009686 * A012521 A211195 A346452 Adjacent sequences: A012315 A012316 A012317 * A012319 A012320 A012321 KEYWORD nonn AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) EXTENSIONS a(0)=0 prepended by Vaclav Kotesovec, Feb 06 2015 STATUS approved

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Last modified September 27 13:50 EDT 2023. Contains 365703 sequences. (Running on oeis4.)