A091019 Denominators of the Taylor series of arccosh(z)/sqrt(2(x-1)) about 1.

1, 12, 160, 896, 18432, 90112, 851968, 1310720, 142606336, 637534208, 5637144576, 24696061952, 429496729600, 1855425871872, 15942918602752, 68169720922112, 1548112371908608, 3940649673949184, 166633186212708352

Offset

0,2

Comments

Numerators are A055786.

Links

Table of n, a(n) for n=0..18.

Q. Wei, R. Onofrio, Edge effects in electrostatic calibrations for the measurement of the Casimir force, Phys. Lett. A 374 (2010) 2230-2234.

Eric Weisstein's World of Mathematics, Inverse Hyperbolic Cosecant

Example

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 + ...

Crossrefs

Cf. A055786.

Sequence in context: A286721 A349154 A112719 * A355844 A219418 A098400

Adjacent sequences: A091016 A091017 A091018 * A091020 A091021 A091022

Keyword

nonn

Author

Eric W. Weisstein, Dec 13 2003

Status

approved