A085508 Decimal expansion of conjectured value for the Bloch constant.

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

Offset

0,1

Comments

Named after the French mathematician André Bloch (1893-1948). - Amiram Eldar, Jun 17 2021

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, section 7.1, pp. 456-459.

Links

Table of n, a(n) for n=0..101.

L. V. Alfors and H. Grunsky, Über die Blochsche Konstante, Mathematische Zeitschrift, Vol. 30, No. 1 (1929), pp. 608-634.

Michèle Audin, Mathématiques en asile d’aliénés, Images des Mathématiques, CNRS, 2014.

André Bloch, Les théorèmes de M. Valiron sur les fonctions entières et la théorie de l'uniformisation, Annales de la faculté des sciences de Toulouse, Sér. 3, Vol. 17 (1925), pp. 1-22.

Eric Weisstein's World of Mathematics, Bloch Constant.

Example

0.47186165345268178487446879361131614907701262173944...

Mathematica

RealDigits[Gamma[1/3]*Gamma[11/12]/(Sqrt[1 + Sqrt[3]]*Gamma[1/4]), 10, 100][[1]]

Crossrefs

Sequence in context: A307868 A021216 A335006 * A198347 A371333 A019670

Adjacent sequences: A085505 A085506 A085507 * A085509 A085510 A085511

Keyword

nonn,cons

Author

Eric W. Weisstein, Jul 02 2003

Status

approved