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!)
A256717 Decimal expansion of G(5/4) where G is the Barnes G-function. 1
1, 0, 6, 5, 0, 4, 4, 5, 3, 8, 5, 3, 0, 9, 5, 5, 7, 1, 7, 1, 5, 9, 7, 1, 7, 5, 8, 3, 6, 9, 4, 9, 7, 7, 1, 4, 1, 9, 3, 7, 3, 4, 9, 0, 7, 3, 2, 6, 9, 7, 6, 1, 8, 9, 2, 2, 2, 1, 3, 9, 9, 3, 1, 5, 2, 0, 0, 4, 3, 8, 3, 7, 6, 1, 6, 8, 6, 0, 2, 2, 4, 4, 7, 6, 4, 6, 1, 5, 2, 5, 1, 0, 9, 9, 2, 8, 1, 4, 9, 1, 9, 4, 2, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

J.-P. Allouche, A note on products involving zeta(3) and Catalan's constant. arXiv:1305.6247v3 [math.NT], 2013-2014, p. 7.

Eric Weisstein's MathWorld, Barnes G-Function

Wikipedia, Barnes G-function

FORMULA

Equals exp(3/32 - Catalan/(4*Pi))*Gamma(1/4)^(1/4)/Glaisher^(9/8).

Equals G(1/4)*Gamma(1/4). - Vaclav Kotesovec, Apr 09 2015

EXAMPLE

1.0650445385309557171597175836949771419373490732697618922213...

MATHEMATICA

RealDigits[BarnesG[5/4], 10, 104] // First

RealDigits[Exp[3/32 - Catalan/(4*Pi)]*Gamma[1/4]^(1/4)/Glaisher^(9/8), 10, 100][[1]] (* G. C. Greubel, Aug 25 2018 *)

PROG

(PARI) exp(3/32 - Catalan/(4*Pi))*gamma(1/4)^(1/4)/exp(3/32-9*zeta'(-1)/8) \\ Charles R Greathouse IV, Jul 01 2016

CROSSREFS

Cf. A006752 (Catalan), A068466 (Gamma(1/4)), A074962 (Glaisher), A087013 (G(1/4)), A087014 (G(1/2)), A087015 (G(3/4)), A087016 (G(3/2)), A087017 (G(5/2)).

Sequence in context: A197261 A010773 A099288 * A273487 A134103 A196621

Adjacent sequences:  A256714 A256715 A256716 * A256718 A256719 A256720

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Apr 09 2015

STATUS

approved

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 September 25 22:56 EDT 2022. Contains 356986 sequences. (Running on oeis4.)