A116517 Decimal expansion of a Rivoal-Fischler constant.

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

Offset

0,1

Comments

See Prop. 5 on p. 11 in the preprint, or Prop. 4.7 on p. 12 in the published version. - Petros Hadjicostas, Jun 09 2020

Links

G. C. Greubel, Table of n, a(n) for n = 0..2500

Stéphane Fischler and Tanguy Rivoal, Un exposant de densité en approximation rationnelle, preprint, 2006.

Stéphane Fischler and Tanguy Rivoal, Un exposant de densité en approximation rationnelle, preprint, 2006.

Stéphane Fischler and Tanguy Rivoal, Un exposant de densité en approximation rationnelle, Int. Math. Res. Notices, Vol. 2006 (2006), Article ID 95418, 48 pp.

Tanguy Rivoal, Homepage.

Formula

2*exp(-Pi^2/12/log(K)) = 0.8698482305... where K is the Khintchine constant (A002210).

Mathematica

RealDigits[ N[ 2*Exp[ -Pi^2/12/Log[Khinchin] ], 100]][[1]] (* Jean-François Alcover, Oct 30 2012 *)

Crossrefs

Cf. A002210.

Sequence in context: A160056 A155680 A249103 * A302517 A326285 A104668

Adjacent sequences: A116514 A116515 A116516 * A116518 A116519 A116520

Keyword

cons,nonn

Author

Benoit Cloitre, Mar 24 2006

Extensions

Name edited by Petros Hadjicostas, Jun 09 2020

Status

approved