The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A063448 Decimal expansion of Pi * sqrt(2). 14
 4, 4, 4, 2, 8, 8, 2, 9, 3, 8, 1, 5, 8, 3, 6, 6, 2, 4, 7, 0, 1, 5, 8, 8, 0, 9, 9, 0, 0, 6, 0, 6, 9, 3, 6, 9, 8, 6, 1, 4, 6, 2, 1, 6, 8, 9, 3, 7, 5, 6, 9, 0, 2, 2, 3, 0, 8, 5, 3, 9, 5, 6, 0, 6, 9, 5, 6, 4, 3, 4, 7, 9, 3, 0, 9, 9, 4, 7, 3, 9, 1, 0, 5, 7, 5, 3, 2, 6, 9, 3, 4, 7, 6, 4, 7, 6, 5, 2, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Hypotenuse of the right triangle with legs Pi and Pi. - Zak Seidov, May 04 2005 Circumference of the circumcircle of the unit square. - Jonathan Sondow, Nov 23 2017 Half-perimeter of the closed curve with implicit Cartesian equation x^2 + y^2 = abs(x) + abs(y). - Stefano Spezia, Oct 20 2020 LINKS Harry J. Smith, Table of n, a(n) for n = 1..20000 FORMULA Equals Gamma(1/4)*Gamma(3/4). - Jean-François Alcover, Nov 24 2014 From Amiram Eldar, Aug 06 2020: (Start) Equals Integral_{x=0..oo} log(1 + 1/x^4) dx. Equals Integral_{x=0..oo} log(1 + 2/x^2) dx. Equals Integral_{x=-oo..oo} exp(x/4)/(exp(x) + 1) dx. Equals Integral_{x=0..2*Pi} 1/(cos(x)^2 + 1) dx = Integral_{x=0..2*Pi} 1/(sin(x)^2 + 1) dx. (End) EXAMPLE 4.4428829381583662470158809900606936986146216893756902230853... MATHEMATICA RealDigits[N[Pi*Sqrt[2], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Mar 21 2011*) PROG (PARI) \p 400; Pi * sqrt(2) (PARI) default(realprecision, 20080); x=Pi*sqrt(2); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b063448.txt", n, " ", d)) \\ Harry J. Smith, Aug 21 2009 CROSSREFS Cf. A063447 (continued fraction), A093954, A153799, A193887, A244976, A247719. Sequence in context: A182565 A016708 A105724 * A232526 A117499 A063570 Adjacent sequences:  A063445 A063446 A063447 * A063449 A063450 A063451 KEYWORD cons,nonn AUTHOR Jason Earls, Jul 24 2001 EXTENSIONS Edited by N. J. A. Sloane, May 05 2007 Corrected by Neven Juric, Apr 24 2008 STATUS approved

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

Last modified January 26 12:00 EST 2022. Contains 350598 sequences. (Running on oeis4.)