A113014 Decimal expansion of value of the continued fraction 1/(2+3/(4+5/(6+7/....

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

Offset: 0

Author

T. D. Noe, Oct 10 2005

Keywords

• cons
• nonn

Comments

This fraction equals sqrt(2e/Pi)/erfi(1/sqrt(2)) - 1. - Robert Israel, Aug 29 2007

Examples

			0.3797319547409956328...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Sci.math, Continued Fractions.

Crossrefs

Cf. A365105, A365116.

Programs

Mathematica

n=150; s=n; While[n-2>=0, s=n-2 + (n-1)/s; n=n-2]; RealDigits[N[s, 120]][[1]]
RealDigits[N[Sqrt[2E/Pi]/Erfi[1/Sqrt[2]]-1,120]][[1]] (* T. D. Noe, Oct 06 2008 *)

PARI

{Erfi(z) = -I*(1.0-erfc(I*z))};
real(sqrt(2*exp(1)/Pi)/Erfi(1/sqrt(2)) - 1) \\ G. C. Greubel, Apr 09 2018

Extensions

Sci.math link from Bhushit Joshipura (joshipura(AT)gmail.com), Jul 15 2008