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, 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, 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, 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

Offset

1,2

References

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

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

Eric Weisstein's MathWorld, Dawson's Integral

Example

1.261522510148503929705091109162693953384...

Mathematica

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

Crossrefs

Cf. A133841, A133842, A243433.

Sequence in context: A220794 A220959 A360598 * A265416 A199953 A364682

Adjacent sequences: A243431 A243432 A243433 * A243435 A243436 A243437

Keyword

nonn,cons

Author

Jean-François Alcover, Jun 05 2014

Status

approved