cp's OEIS Frontend

A175315 Decimal expansion of exp(Pi) - exp(-Pi).

%I A175315 #13 Jan 30 2025 10:33:24
%S A175315 2,3,0,9,7,4,7,8,7,1,4,5,1,5,4,9,6,7,5,5,9,5,4,6,6,8,6,3,0,7,7,6,8,1,
%T A175315 9,3,6,8,9,9,0,3,7,8,1,3,2,7,8,9,5,7,8,9,1,0,4,6,4,3,2,6,7,2,2,1,2,3,
%U A175315 2,9,1,5,8,4,9,3,3,4,3,4,8,1,5,8,1,8,8,3,2,0,3,7,1,0,5,6,4,8,1,3,5,2,8,8,9
%N A175315 Decimal expansion of exp(Pi) - exp(-Pi).
%H A175315 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.
%H A175315 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A175315 Equals A039661 - A093580.
%F A175315 Equals 2*sinh(Pi).
%e A175315 23.0974787145154967559546686307...
%p A175315 evalf(exp(Pi)-exp(-Pi)) ;
%t A175315 RealDigits[Exp[Pi]-Exp[-Pi],10,120][[1]] (* _Harvey P. Dale_, Aug 28 2019 *)
%o A175315 (PARI) exp(Pi) + exp(-Pi) \\ _Michel Marcus_, Jun 29 2019
%o A175315 (PARI) 2*sinh(Pi) \\ _Charles R Greathouse IV_, Jan 30 2025
%Y A175315 Cf. A039661 (exp(Pi)), A093580 (exp(-Pi)), A175314.
%K A175315 cons,nonn
%O A175315 2,1
%A A175315 _R. J. Mathar_, Apr 01 2010