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 A012313 Expansion of e.g.f.: cosh(arcsin(x)*log(x+1)). 1
 1, 0, 0, 0, 12, -60, 450, -2940, 26768, -239904, 2668680, -29987760, 392312712, -5250012768, 78929218368, -1221015912480, 20751350980608, -363744987018624, 6898607729825472, -135014880247703424 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS G. C. Greubel, Table of n, a(n) for n = 0..448 EXAMPLE E.g.f. = 1 + 12*x^4/4! - 60*x^5/5! + 450*x^6/6! - 2940*x^7/7! + ... MAPLE seq(coeff(series(factorial(n)*cosh(arcsin(x)*log(x+1)), x, n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 25 2018 MATHEMATICA With[{nn=20}, CoefficientList[Series[Cosh[ArcSin[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 02 2017 *) PROG (PARI) x='x+O('x^30); Vec(serlaplace(cosh(asin(x)*log(x+1)))) \\ G. C. Greubel, Oct 25 2018 (Magma) m:=30; R:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Cosh(Arcsin(x)*Log(x+1)) )); [Factorial(n-1)*b[n]: n in [1..m-1]]; // G. C. Greubel, Oct 25 2018 CROSSREFS Sequence in context: A009062 A012308 A009154 * A012517 A012314 A233004 Adjacent sequences: A012310 A012311 A012312 * A012314 A012315 A012316 KEYWORD sign AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) EXTENSIONS Definition clarified by Harvey P. Dale, Aug 02 2017 STATUS approved

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Last modified June 10 13:20 EDT 2023. Contains 363205 sequences. (Running on oeis4.)