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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

Table of n, a(n) for n=0..99.

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-Fran├žois Alcover, Sep 17 2014

STATUS

approved

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