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 A211269 Integral of a sinc-shaped peak with unit height and unit half-height width. 1
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS See first the general introduction in A211268. 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. LINKS FORMULA pi/(2*A199460) EXAMPLE 0.828700120129003061896869 MATHEMATICA 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 *) CROSSREFS Cf. A199460, A211268. Sequence in context: A163960 A246849 A143531 * A278809 A278261 A296301 Adjacent sequences:  A211266 A211267 A211268 * A211270 A211271 A211272 KEYWORD nonn,cons,easy AUTHOR Stanislav Sykora, Apr 07 2012 STATUS approved

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Last modified December 17 12:20 EST 2018. Contains 318201 sequences. (Running on oeis4.)