This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A247444 Decimal expansion of the infinite product of (1-1/n^2)^(n^2)/(1-1/(4*n^2))^(4*n^2) for n >= 2. 2
 7, 6, 1, 1, 9, 3, 8, 7, 8, 3, 4, 7, 6, 3, 2, 0, 7, 6, 0, 5, 2, 3, 7, 2, 5, 6, 3, 8, 9, 8, 5, 0, 6, 9, 9, 5, 1, 3, 9, 7, 1, 9, 1, 2, 0, 5, 3, 0, 9, 0, 6, 9, 8, 3, 7, 7, 0, 0, 2, 9, 3, 7, 3, 5, 1, 4, 1, 3, 5, 2, 0, 3, 0, 3, 9, 0, 7, 5, 9, 4, 0, 9, 5, 7, 6, 8, 2, 2, 5, 5, 7, 6, 2, 1, 2, 9, 2, 0, 0, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 2. Steven R. Finch, Errata and Addenda to Mathematical Constants, January 22, 2016. [Cached copy, with permission of the author] S. R. Holcombe, A product representation for Pi, arXiv:1204.2451 [math.NT], 2012. FORMULA Equals (2^9/9^2)*Pi*exp(7*zeta(3)/(2*Pi^2)) = A240984 / A240985. EXAMPLE 0.76119387834763207605237256389850699513971912053... MAPLE evalf(product((1-1/n^2)^(n^2)/(1-1/(4*n^2))^(4*n^2), n=2..infinity), 100) # Vaclav Kotesovec, Sep 17 2014 MATHEMATICA RealDigits[(9^2/2^9)*Pi*Exp[7*Zeta[3]/(2*Pi^2)], 10, 100] // First CROSSREFS Cf. A240984. Sequence in context: A256319 A324688 A309700 * A319331 A010511 A073744 Adjacent sequences:  A247441 A247442 A247443 * A247445 A247446 A247447 KEYWORD nonn,cons,easy AUTHOR Jean-François Alcover, Sep 17 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.

Last modified October 18 07:19 EDT 2019. Contains 328146 sequences. (Running on oeis4.)