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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

Index entries for transcendental numbers

FORMULA

Equals Gamma(1/4)*Gamma(3/4). - Jean-Fran├žois 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

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