A240985 Decimal expansion of the infinite product of e*(1-1/(4*n^2))^(4*n^2) for n >= 2.

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

Offset

0,1

Links

Table of n, a(n) for n=0..103.

Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 2.

S. R. Holcombe, A product representation for Pi, arXiv:1204.2451 [math.NT], 2012.

Formula

Equals prod_{n>=2} e*(1-1/(4*n^2))^(4*n^2) = (2^9/9^2)*exp(-3/2 - 7*zeta(3)/(2*Pi^2)) = A240984 / A247444.

Example

0.92090082678842371556838158038874931414905503033348614...

Mathematica

RealDigits[(2^9/9^2)*Exp[-3/2 - 7*Zeta[3]/(2*Pi^2)], 10, 104] // First

Crossrefs

Cf. A240984.

Sequence in context: A147711 A096388 A153463 * A296460 A319533 A010160

Adjacent sequences: A240982 A240983 A240984 * A240986 A240987 A240988

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Aug 06 2014

Status

approved