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 A012314 Expansion of e.g.f. sec(arcsin(x)*log(x+1)). 1
 1, 0, 0, 0, 12, -60, 450, -2940, 33488, -360864, 4785480, -62142960, 941944872, -14815408608, 260792820288, -4784515051680, 95341465939968, -1988764871186304, 44407627224011712, -1038296963667026304 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS G. C. Greubel, Table of n, a(n) for n = 0..434 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)*sec(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[Sec[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); Vec(serlaplace(1/cos(asin(x)*log(x+1)))) \\ G. C. Greubel, Oct 25 2018 (Magma) m:=30; R:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( 1/Cos(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: A009154 A012313 A012517 * A233004 A012360 A012708 Adjacent sequences: A012311 A012312 A012313 * A012315 A012316 A012317 KEYWORD sign AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) STATUS approved

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Last modified December 5 12:54 EST 2023. Contains 367591 sequences. (Running on oeis4.)