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%I #9 Feb 20 2014 10:21:15
%S 8,2,8,7,0,0,1,2,0,1,2,9,0,0,3,0,6,1,8,9,6,8,6,9,3,3,6,1,7,5,9,2,3,5,
%T 8,6,3,1,8,5,3,9,5,4,2,0,6,0,5,5,9,9,0,4,1,3,2,4,7,0,9,4,1,2,0,7,5,3,
%U 6,5,6,5,0,8,0,5,9,9,1,9,6,8,8,0,6,2,0,3,2,4,3,0,6,0,9,6,8,9,6
%N Integral of a sinc-shaped peak with unit height and unit half-height width.
%C See first the general introduction in A211268.
%C This constant is the integral from -inf to +inf under a canonical sinc-shaped spectral peak S(x) defined by S(x)=sinc(2*x*eta), with sinc(z)=sin(z)/z, and eta=A199460, so that S(0)=1 and S(+1/2)=S(-1/2)=1/2.
%F pi/(2*A199460)
%e 0.828700120129003061896869
%t digits = 99; Pi/(2 FindRoot[x == 2*Sin[x], {x, 2}, WorkingPrecision -> digits+1] [[1, 2]]) // RealDigits[#, 10, digits]& // First (* _Jean-François Alcover_, Feb 20 2014 *)
%Y Cf. A199460, A211268.
%K nonn,cons,easy
%O 0,1
%A _Stanislav Sykora_, Apr 07 2012
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