A249186 Decimal expansion of the Goldberg Zero-One constant A(2,1).

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

Offset

0,3

Comments

Named after the Soviet and Israeli mathematician Anatolii Asirovich Goldberg (1930 -2008). - Amiram Eldar, Apr 15 2021

References

A. A. Goldberg, A certain theorem of Landau type (in Russian), Teor. Funkciĭ Funkcional. Anal. i Priložen., Vol. 17 (1973), pp. 200-206, 246.

Links

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

Walter Bergweiler and Alexandre Eremenko, Goldberg's constants.

Steven Finch, Goldberg’s Zero-One Constants, May 21, 2014. [Cached copy, with permission of the author]

Formula

A(2,1) = exp(-Pi^2/log(3 + 2*sqrt(2))).

Example

0.003701599183280691419317040865321717178...

Mathematica

A[2, 1] = Exp[-Pi^2/Log[3 + 2*Sqrt[2]]]; Join[{0, 0}, RealDigits[A[2, 1], 10, 100] // First]

Crossrefs

Cf. A249187, A249188.

Sequence in context: A293525 A016617 A299632 * A118746 A181913 A127584

Adjacent sequences: A249183 A249184 A249185 * A249187 A249188 A249189

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Oct 23 2014

Status

approved