A249189 Decimal expansion of Hayman's constant in Landau's Theorem.

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

Offset

1,1

Comments

Named after the British mathematician Walter Kurt Hayman (1926-2020). - Amiram Eldar, Apr 15 2021

References

Steven R. Finch, Mathematical Constants II, Cambridge University Press, 2018, p. 421.

Links

Table of n, a(n) for n=1..102.

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

W. K. Hayman, Some remarks on Schottky's theorem, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 43, No. 4 (1947), pp. 442-454.

Wan Tzei Lai, The exact value of Hayman's constant in Landau's Theorem, Scientia Sinica, Vol. 22, No. 2 (1979), pp. 129-134.

Wikipedia, Théorème de Landau, [in French].

Formula

K = (1/(4*Pi^2))*Gamma(1/4)^4.

Example

4.37687923045295327767353988140892908651874544565...

Mathematica

K = (1/(4*Pi^2))*Gamma[1/4]^4; RealDigits[K, 10, 102] // First

Prog

(PARI) (1/(4*Pi^2))*gamma(1/4)^4 \\ Michel Marcus, Oct 23 2014

Crossrefs

Cf. A068466.

Sequence in context: A046560 A205392 A131413 * A168200 A112887 A351684

Adjacent sequences: A249186 A249187 A249188 * A249190 A249191 A249192

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Oct 23 2014

Status

approved