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A136606 Reduced denominators in the Maclaurin series for the Gudermannian. 0

%I

%S 1,6,24,5040,72576,39916800,95800320,1307674368000,4184557977600,

%T 121645100408832000,2043637686868377600,25852016738884976640000,

%U 238634000666630553600000,10888869450418352160768000000

%N Reduced denominators in the Maclaurin series for the Gudermannian.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Gudermannian.html">Gudermannian</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/InverseGudermannian.html">Inverse Gudermannian</a>

%e x - x^3/6 + x^5/24 - (61*x^7)/5040 + (277*x^9)/72576 - ...

%t gd[x_] := 2*ArcTan[(E^x - 1)/(E^x + 1)]; CoefficientList[ Series[gd[x], {x, 0, 28}]/x , x^2] // Denominator (* _Jean-Fran├žois Alcover_, Nov 09 2012 *)

%Y Cf. A091912.

%K nonn

%O 1,2

%A _Eric W. Weisstein_, Jan 12 2008

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Last modified September 28 11:24 EDT 2020. Contains 337393 sequences. (Running on oeis4.)