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 A012310 Expansion of e.g.f. arcsinh(arcsin(x) * log(x+1)). 1
 0, 0, 2, -3, 12, -40, 118, 21, -5208, 88416, -904518, 8456085, -36204300, -582795720, 25175931870, -566080291035, 10469521737360, -151909726765440, 1439879949016050, 12663393759659565, -1154176350734965860 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS G. C. Greubel, Table of n, a(n) for n = 0..436 EXAMPLE E.g.f. = 2*x^2/2! - 3*x^3/3! + 12*x^4/4! - 40*x^5/5! + ... MAPLE seq(coeff(series(factorial(n)*arcsinh(arcsin(x)*log(x+1)), x, n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 25 2018 MATHEMATICA With[{nn = 30}, CoefficientList[Series[ArcSinh[ArcSin[x] Log[x + 1]], {x, 0, nn}], x] Range[0, nn]!] (* G. C. Greubel, Oct 25 2018 *) PROG (PARI) x='x+O('x^30); concat([0, 0], Vec(serlaplace(asinh(asin(x)* log(x+1))))) \\ G. C. Greubel, Oct 25 2018 (Magma) m:=30; R:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Argsinh(Arcsin(x)*Log(x+1)) )); [0, 0] cat [Factorial(n+1)*b[n]: n in [1..m-2]]; // G. C. Greubel, Oct 25 2018 CROSSREFS Sequence in context: A012513 A012515 A012510 * A082526 A151368 A087650 Adjacent sequences: A012307 A012308 A012309 * A012311 A012312 A012313 KEYWORD sign AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) EXTENSIONS a(0) and a(1) inserted and title improved by Sean A. Irvine, Jul 17 2018 STATUS approved

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Last modified May 29 13:20 EDT 2023. Contains 363042 sequences. (Running on oeis4.)