login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A068466 Decimal expansion of Gamma(1/4). 36
3, 6, 2, 5, 6, 0, 9, 9, 0, 8, 2, 2, 1, 9, 0, 8, 3, 1, 1, 9, 3, 0, 6, 8, 5, 1, 5, 5, 8, 6, 7, 6, 7, 2, 0, 0, 2, 9, 9, 5, 1, 6, 7, 6, 8, 2, 8, 8, 0, 0, 6, 5, 4, 6, 7, 4, 3, 3, 3, 7, 7, 9, 9, 9, 5, 6, 9, 9, 1, 9, 2, 4, 3, 5, 3, 8, 7, 2, 9, 1, 2, 1, 6, 1, 8, 3, 6, 0, 1, 3, 6, 7, 2, 3, 3, 8, 4, 3, 0, 0, 3, 6, 1, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Nesterenko proves that this constant is transcendental (he cites Chudnovsky as the first show this); in fact it is algebraically independent of Pi and e^Pi over Q. - Charles R Greathouse IV, Nov 11 2013

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..1000

G. J. Fee and Simon Plouffe, Gamma(1/4) to 25000 digits.

Yu V. Nesterenko, Modular functions and transcendence questions, Sbornik: Mathematics 187:9 (1996), pp. 1319-1348. (English translation)

Simon Plouffe, GAMMA(1/4) to 512 digits.

Eric Weisstein's World of Mathematics, Gamma Function.

Wikipedia, Particular values of the Gamma function: General rational arguments.

Index to sequences related to the Gamma function

EXAMPLE

3.6256099082219083119306851558676720029951676828800654674333...

MAPLE

evalf(GAMMA(1/4));

MATHEMATICA

RealDigits[Gamma[1/4], 10, 110][[1]] (* Bruno Berselli, Dec 13 2012 *)

PROG

(PARI) default(realprecision, 1080); x=gamma(1/4); for (n=1, 1000, d=floor(x); x=(x-d)*10; write("b068466.txt", n, " ", d)); \\ Harry J. Smith, Apr 19 2009

CROSSREFS

Sequence in context: A169837 A160590 A111952 * A194076 A194040 A194065

Adjacent sequences:  A068463 A068464 A068465 * A068467 A068468 A068469

KEYWORD

cons,easy,nonn

AUTHOR

Benoit Cloitre, Mar 10 2002

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 3 04:39 EST 2016. Contains 278698 sequences.