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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A248557 Decimal expansion of (Pi/2)^(1/4)/Gamma(3/4). 1
9, 1, 3, 5, 7, 9, 1, 3, 8, 1, 5, 6, 1, 1, 6, 8, 2, 1, 4, 0, 7, 2, 4, 2, 5, 9, 3, 4, 0, 1, 2, 2, 2, 0, 8, 9, 7, 0, 1, 9, 6, 3, 9, 1, 6, 3, 9, 3, 4, 6, 9, 0, 3, 3, 4, 1, 9, 6, 9, 6, 5, 3, 1, 2, 6, 5, 9, 0, 8, 0, 0, 9, 3, 7, 2, 0, 0, 9, 1, 1, 3, 9, 6, 3, 2, 8, 8, 9, 8, 3, 3, 5, 9, 5, 8, 0, 1, 3, 8, 8, 9, 8, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..102.

MathOverflow, How to calculate the infinite sum of this double series?

Eric Weisstein's MathWorld, Jacobi Theta Functions

FORMULA

Also equals theta_2(0,exp(-Pi)), where 'theta' is the elliptic theta function.

Equals A175573 / exp(4*A251992/Pi + Pi/4).

EXAMPLE

0.913579138156116821407242593401222089701963916393469...

MATHEMATICA

RealDigits[(Pi/2)^(1/4)/Gamma[3/4], 10, 103] // First

PROG

(PARI) (Pi/2)^(1/4)/gamma(3/4) \\ Michel Marcus, Dec 15 2014

CROSSREFS

Cf. A010767, A068465, A092040, A175573, A222068, A251992.

Sequence in context: A154181 A239121 A019875 * A198819 A176520 A011462

Adjacent sequences:  A248554 A248555 A248556 * A248558 A248559 A248560

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Dec 15 2014

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 22 05:03 EDT 2019. Contains 323473 sequences. (Running on oeis4.)