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

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..5000

Eric Weisstein's World of Mathematics, Dawson's Integral.

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

Example

0.5380795069127684191363874204075567547919750017539...

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 *)

Prog

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

Crossrefs

Sequence in context: A019663 A187488 A372831 * A086032 A018222 A349578

Adjacent sequences: A087651 A087652 A087653 * A087655 A087656 A087657

Keyword

cons,nonn

Author

Benoit Cloitre, Sep 25 2003

Status

approved