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 A012960 Expansion of e.g.f. exp(arctan(x)+log(x+1)). 0
 1, 2, 3, 2, -11, -30, 175, 1010, -6135, -60670, 374875, 5719650, -35199875, -779710750, 4687746375, 145208599250, -836951243375, -35435177514750, 191995883837875, 10975003189933250, -54688433347786875 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA a(n) = (n*A002019(n)-A002019(n+1))/(n-1) for n > 1. [Mark van Hoeij, Jul 02 2010] EXAMPLE 1+2*x+3/2!*x^2+2/3!*x^3-11/4!*x^4-30/5!*x^5... MATHEMATICA With[{nn=20}, CoefficientList[Series[Exp[ArcTan[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 25 2013 *) PROG (PARI) my(x='x+O('x^30)); Vec(serlaplace(exp(atan(x)+log(x+1)))) \\ Michel Marcus, May 10 2020 CROSSREFS Cf. A002019. Sequence in context: A220947 A224417 A225787 * A013117 A120864 A173463 Adjacent sequences: A012957 A012958 A012959 * A012961 A012962 A012963 KEYWORD sign AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) EXTENSIONS Definition clarified by Harvey P. Dale, Jul 25 2013 STATUS approved

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Last modified April 1 16:47 EDT 2023. Contains 361695 sequences. (Running on oeis4.)