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A243434 Decimal expansion of c*sqrt(e/2), a constant associated with Dawson's integral and the asymptotic evaluation of the ideal hyperbolic n-cube volume, where c is A243433, twice the maximum of Dawson's integral. 1

%I #11 Jun 02 2017 07:02:26

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

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

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

%N Decimal expansion of c*sqrt(e/2), a constant associated with Dawson's integral and the asymptotic evaluation of the ideal hyperbolic n-cube volume, where c is A243433, twice the maximum of Dawson's integral.

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.9 Hyperbolic volume constants, p. 512.

%H G. C. Greubel, <a href="/A243434/b243434.txt">Table of n, a(n) for n = 1..5000</a>

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/DawsonsIntegral.html">Dawson's Integral</a>

%e 1.261522510148503929705091109162693953384...

%t digits = 100; DawsonF[x_] := Sqrt[Pi]*Erfi[x]/(2*Exp[x^2]); c = 2*DawsonF[x] /. FindRoot[DawsonF'[x], {x, 1}, WorkingPrecision -> digits + 5]; RealDigits[c*Sqrt[E/2], 10, digits] // First

%Y Cf. A133841, A133842, A243433.

%K nonn,cons

%O 1,2

%A _Jean-François Alcover_, Jun 05 2014

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Last modified April 24 14:54 EDT 2024. Contains 371960 sequences. (Running on oeis4.)