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
Examples
0.3797319547409956328...
Links
- G. C. Greubel, Table of n, a(n) for n = 0..10000
- Sci.math, Continued Fractions.
Programs
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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 *)
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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
Comments