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RealDigits[Exp[Pi]-Exp[-Pi], 10, 120][[1]] (* Harvey P. Dale, Aug 28 2019 *)
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Equals 2*sinh(Pi).
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N. Kurokawa, M. Wakayama, <a href="https://dml.cz/handle/10338.dmlcz/127942">A generalization of Lerch’s formula</a>, Czechoslovak Math. J. 54 (2004), 941-947.
equals 23.0974787145154967559546686307...
(PARI) exp(Pi) + exp(-Pi) \\ Michel Marcus, Jun 29 2019
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_R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, Apr 01 2010