A068465 - OEIS

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

A068465

Decimal expansion of Gamma(3/4).

28

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..20000

Russell J. Matheson, GAMMA(3/4) computed to 14550 digits.

Simon Plouffe, GAMMA(3/4) to 256 places, see p. 65.

Index to sequences related to the Gamma function

FORMULA

This number * A068466 = sqrt(2)*Pi = A063448. - R. J. Mathar, Jun 18 2006

Equals Integral_{x>=0} x^(-1/4)*exp(-x) dx. - Vaclav Kotesovec, Nov 12 2020

Equals (Pi/2)^(1/4) * sqrt(AGM(1,sqrt(2))) = sqrt(A069998 * A053004). - Amiram Eldar, Jun 12 2021

EXAMPLE

Gamma(3/4) = 1.225416702465177645129098303362890526851239248108070611...

MAPLE

evalf(GAMMA(3/4)) ; # R. J. Mathar, Jan 10 2013

MATHEMATICA

RealDigits[Gamma[3/4], 10, 100][[1]] (* G. C. Greubel, Mar 11 2018 *)

PROG

(PARI) default(realprecision, 100); gamma(3/4) \\ G. C. Greubel, Mar 11 2018

(Magma) SetDefaultRealField(RealField(105)); Gamma(3/4); // G. C. Greubel, Mar 11 2018

CROSSREFS

Cf. A000796, A002193, A053004, A063448, A068466, A069998.

Sequence in context: A184243 A356891 A135281 * A217876 A209771 A209751

Adjacent sequences: A068462 A068463 A068464 * A068466 A068467 A068468

KEYWORD

cons,easy,nonn

AUTHOR

Benoit Cloitre, Mar 10 2002

STATUS

approved