A241993 Decimal expansion of the limit when n -> infinity of the product Product_{k=1..2n} e^(1/4)*(1 - 1/(k+1))^((1/2)*k*(k+1)*(-1)^k).

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

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

0.9638102878340799974921614340112213340463113718208026136579325...

Mathematica

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

Crossrefs

Cf. A002117, A241992.

Sequence in context: A276538 A243313 A259469 * A099817 A262701 A200280

Adjacent sequences: A241990 A241991 A241992 * A241994 A241995 A241996

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Aug 11 2014

Status

approved