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 A013170 Expansion of e.g.f.: exp(arctanh(x)+arcsin(x)). 2
 1, 2, 4, 11, 40, 185, 1030, 6785, 51160, 438425, 4176250, 44098925, 507867100, 6375156125, 86130937750, 1253044612625, 19429666282000, 321457635604625, 5626346310003250, 104323833636303125, 2034312191276462500 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 FORMULA a(n) = n * A006228(n) + A006228(n+1). - Mark van Hoeij, Aug 27 2005 a(n) = (n^2-3*n+5)*a(n-2) + (n^2-6*n+10)*a(n-3). - Vaclav Kotesovec, Oct 07 2012 EXAMPLE exp(arctanh(x)+arcsin(x)) = 1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+185/5!*x^5+... MATHEMATICA Table[n!*SeriesCoefficient[E^(ArcTanh[x]+ArcSin[x]), {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 07 2012 *) PROG (PARI) x='x+O('x^66); Vec(serlaplace(exp(atanh(x)+asin(x)))) \\ Joerg Arndt, May 04 2013 CROSSREFS Cf. A006228. Sequence in context: A335441 A012948 A013182 * A094762 A295772 A099934 Adjacent sequences: A013167 A013168 A013169 * A013171 A013172 A013173 KEYWORD nonn AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) STATUS approved

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Last modified September 24 17:02 EDT 2023. Contains 365579 sequences. (Running on oeis4.)