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A360166 Decimal expansion of sech(Pi). 0

%I #10 Feb 08 2023 08:49:22

%S 8,6,2,6,6,7,3,8,3,3,4,0,5,4,4,1,4,6,9,6,5,5,4,0,4,6,3,3,1,3,3,6,8,0,

%T 3,9,1,3,9,1,9,4,0,1,8,5,7,3,6,3,6,7,8,0,7,7,4,0,1,9,7,8,3,5,2,6,4,8,

%U 8,0,2,1,5,7,7,0,3,5,8,5,7,3,1,9,7,4,3,8,8,1,8,4,2,5,7,4,1,0,6,1,7,7,6

%N Decimal expansion of sech(Pi).

%H Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a> (2011).

%F Equals 1/cosh(Pi).

%F Equals 2/A175314.

%F Equals (2*e^Pi)/(e^(2*Pi) + 1).

%F Equals Sum_{k>=0} 2*e^((i - 2)k*Pi - Pi).

%F Equals lim_{n->oo} (-2*e^(Pi - 2*Pi*n))*(e^(i*Pi*n) - e^(2*Pi*n))/(e^(2*Pi) + 1).

%e 0.086266738334054414696554046331336803913919401857363678077401978352...

%t RealDigits[Sech[Pi], 10, 105][[1]]

%Y Cf. A175314.

%K cons,nonn

%O -1,1

%A _Wolfe Padawer_, Jan 28 2023

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