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 A276709 Decimal expansion of the derivative of logarithmic integral at its positive real root. 1
 2, 6, 8, 4, 5, 1, 0, 3, 5, 0, 8, 2, 0, 7, 0, 7, 6, 5, 2, 5, 0, 2, 3, 8, 2, 6, 4, 0, 4, 8, 7, 2, 3, 8, 6, 8, 5, 3, 1, 0, 1, 7, 9, 7, 3, 4, 5, 9, 8, 5, 5, 1, 6, 3, 5, 2, 2, 0, 4, 1, 4, 8, 6, 4, 5, 0, 2, 6, 4, 1, 1, 3, 3, 6, 3, 1, 7, 6, 7, 2, 4, 4, 8, 9, 3, 6, 2, 5, 0, 2, 2, 0, 1, 2, 5, 4, 8, 5, 2, 1, 5, 3, 6, 5, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Since the real root location of li(x) is the Soldner's constant A070769, this constant equals 1/log(A070769). It is also the inverse of the unique real root A091723 of the exponential integral function Ei(x). LINKS Stanislav Sykora, Table of n, a(n) for n = 1..2000 Eric Weisstein's World of Mathematics, Logarithmic Integral Wikipedia, Logarithmic integral function FORMULA Equals 1/log(A070769) and 1/A091723. EXAMPLE 2.68451035082070765250238264048723868531017973459855163522041486450... MATHEMATICA 1/x/.FindRoot[ExpIntegralEi[x] == 0, {x, 1}, WorkingPrecision -> 104] (* Vaclav Kotesovec, Sep 27 2016 *) PROG (PARI) li(z) = {my(c=z+0.0*I); \\ Computes li(z) for any complex z if(imag(c)<0, return(-Pi*I-eint1(-log(c))), return(+Pi*I-eint1(-log(c)))); } a = 1/log(solve(x=1.1, 2.0, real(li(x)))) \\ Computes this constant CROSSREFS Cf. A070769, A091723, A257821. Sequence in context: A067067 A119279 A048741 * A115317 A117932 A073411 Adjacent sequences:  A276706 A276707 A276708 * A276710 A276711 A276712 KEYWORD nonn,cons AUTHOR Stanislav Sykora, Sep 15 2016 STATUS approved

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Last modified May 26 06:20 EDT 2017. Contains 287080 sequences.