A019633 Decimal expansion of sqrt(2*Pi*e).

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

Offset: 1

Author

N. J. A. Sloane, Dec 11 1996

Keywords

• nonn
• cons

References

• Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 220.

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Ivan Panchenko)

Crossrefs

Cf. A059444.

Programs

Magma

C := ComplexField(); Sqrt(2*Pi(C)*Exp(1)); // G. C. Greubel, Jan 28 2018

Mathematica

RealDigits[Sqrt[2Pi E],10,120][[1]] (* Harvey P. Dale, Apr 16 2013 *)

PARI

sqrt(2*Pi*exp(1)) \\ Charles R Greathouse IV, May 14 2014

Formula

Equals 2*A059444. - Michel Marcus, May 13 2014

Equals Integral_{x>=0} exp(-log(x)^2/2) dx. - Amiram Eldar, Apr 07 2021