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<x>:=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
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
STATUS
approved