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

Author

Jean-François Alcover, Oct 23 2014

Keywords

• nonn
• cons
• easy

Comments

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

Examples

			4.37687923045295327767353988140892908651874544565...
		

References

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

Links

• 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].

Crossrefs

Cf. A068466.

Programs

Mathematica

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

PARI

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

Formula

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