A241992 - OEIS

A241992

Decimal expansion of the limit when n -> infinity of the product Product_{k=1..2n+1} e^(-1/4)*(1 - 1/(k+1))^((1/2)*k*(k+1)*(-1)^k).

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

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

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

FORMULA

exp(7*zeta(3)/(4*Pi^2) + 1/4).

EXAMPLE

1.5890545224716606334818123588616614080792358449323775333831...

MATHEMATICA

RealDigits[Exp[7*Zeta[3]/(4*Pi^2) + 1/4] , 10, 105] // First