A087654 Decimal expansion of D(1) where D(x) is the Dawson function.

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

Offset: 0

Author

Benoit Cloitre, Sep 25 2003

Keywords

• cons
• nonn

Examples

			0.5380795069127684191363874204075567547919750017539...
		

References

• Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 42, page 407.

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000
• Eric Weisstein's World of Mathematics, Dawson's Integral.

Programs

Mathematica

RealDigits[ N[ Sqrt[Pi]*Erfi[1]/(2*E), 105]][[1]] (* Jean-François Alcover, Nov 08 2012 *)
RealDigits[DawsonF[1], 10, 120][[1]] (* Amiram Eldar, Jun 25 2023 *)

PARI

intnum(t=0, 1, exp(t^2))/exp(1) \\ Michel Marcus, Feb 28 2023

Formula

D(1) = (1/e)*Integral_{t=0..1} exp(t^2) dt.

Equals Integral_{x=0..oo} e^(-x^2) sin(2x) dx = 1F1(1;3/2;-1). - R. J. Mathar, Jul 10 2024

Equals A099288 * sqrt(Pi)/(2e) = A099288 *A019704 * A068985. - R. J. Mathar, Jul 10 2024