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

0,1

Comments

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

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Sci.math, Continued Fractions.

Example

0.3797319547409956328...

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 *)

Prog

(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

Crossrefs

Cf. A365105, A365116.

Sequence in context: A342354 A011271 A005534 * A102520 A275667 A122490

Adjacent sequences: A113011 A113012 A113013 * A113015 A113016 A113017

Keyword

cons,nonn

Author

T. D. Noe, Oct 10 2005

Extensions

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

Status

approved