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Denominators of the Taylor series of arccosh(z)/sqrt(2(x-1)) about 1.
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%I #8 Feb 16 2025 08:32:52

%S 1,12,160,896,18432,90112,851968,1310720,142606336,637534208,

%T 5637144576,24696061952,429496729600,1855425871872,15942918602752,

%U 68169720922112,1548112371908608,3940649673949184,166633186212708352

%N Denominators of the Taylor series of arccosh(z)/sqrt(2(x-1)) about 1.

%C Numerators are A055786.

%H Q. Wei, R. Onofrio, <a href="http://dx.doi.org/10.1016/j.physleta.2010.03.035">Edge effects in electrostatic calibrations for the measurement of the Casimir force</a>, Phys. Lett. A 374 (2010) 2230-2234.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/InverseHyperbolicCosecant.html">Inverse Hyperbolic Cosecant</a>

%e Arccosh(z) = 1 + (1 - z)/12 + (3*(-1 + z)^2)/160 - (5*(-1 + z)^3)/896 + (35*(-1 + z)^4)/18432 - (63*(-1 + z)^5)/90112 + ...

%Y Cf. A055786.

%K nonn,changed

%O 0,2

%A _Eric W. Weisstein_, Dec 13 2003