The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A125961 Decimal expansion of e * sqrt(Pi) * erf(1). 2

%I #30 Feb 11 2024 11:19:51

%S 4,0,6,0,1,5,6,9,3,8,5,5,7,4,0,9,9,5,1,0,7,8,1,7,9,8,5,1,3,3,1,9,0,0,

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

%U 3,5,0,7,9,7,8,7,7,8,1,3,8,5,3,8,9,7,6,8,6,6,0,1,6,7,1,5,3,9,8,5

%N Decimal expansion of e * sqrt(Pi) * erf(1).

%H G. C. Greubel, <a href="/A125961/b125961.txt">Table of n, a(n) for n = 1..5000</a>

%H J.-P. Allouche and T. Baruchel, <a href="http://arxiv.org/abs/1408.2206">Variations on an error sum function for the convergents of some powers of e</a>, arXiv preprint arXiv:1408.2206 [math.NT], 2014.

%F Equals Sum_{k >= 1} (2^k / (2k-1)!!).

%F Equals Integral_{x=0..1} e^x dx/sqrt(1-x). - _Amiram Eldar_, Jul 04 2020

%e c = 4.06015693855740995107817985133190089786512917863694504946039...

%t RealDigits[N[E Sqrt[Pi] Erf[1], 100]][[1]]

%o (MATLAB) exp(1)*sqrt(pi)*erf(1) \\ _Altug Alkan_, Nov 11 2015

%o (PARI) exp(1)*sqrt(Pi)*(1-erfc(1)) \\ _Michel Marcus_, Nov 11 2015

%o (PARI) vector(100, n, if(n<1, 0, default(realprecision, n+2); floor((exp(1)*sqrt(Pi)*(1-erfc(1)))*10^(n-1))%10)) \\ _Altug Alkan_, Nov 11 2015

%K cons,nonn

%O 1,1

%A _Fredrik Johansson_, Feb 06 2007

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 4 19:35 EDT 2024. Contains 373102 sequences. (Running on oeis4.)