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%I #18 Apr 15 2021 05:14:35
%S 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,
%T 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,
%U 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
%N Decimal expansion of Hayman's constant in Landau's Theorem.
%C Named after the British mathematician Walter Kurt Hayman (1926-2020). - _Amiram Eldar_, Apr 15 2021
%D Steven R. Finch, Mathematical Constants II, Cambridge University Press, 2018, p. 421.
%H Steven Finch, <a href="/A249186/a249186.pdf">Goldberg’s Zero-One Constants</a>, May 21, 2014. [Cached copy, with permission of the author]
%H W. K. Hayman, <a href="https://doi.org/10.1017/S0305004100023707">Some remarks on Schottky's theorem</a>, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 43, No. 4 (1947), pp. 442-454.
%H Wan Tzei Lai, <a href="https://www.sciengine.com/publisher/scp/journal/Math%20A0/22/2/10.1360/ya1979-22-2-129">The exact value of Hayman's constant in Landau's Theorem</a>, Scientia Sinica, Vol. 22, No. 2 (1979), pp. 129-134.
%H Wikipedia, <a href="http://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Landau">Théorème de Landau</a>, [in French].
%F K = (1/(4*Pi^2))*Gamma(1/4)^4.
%e 4.37687923045295327767353988140892908651874544565...
%t K = (1/(4*Pi^2))*Gamma[1/4]^4; RealDigits[K, 10, 102] // First
%o (PARI) (1/(4*Pi^2))*gamma(1/4)^4 \\ _Michel Marcus_, Oct 23 2014
%Y Cf. A068466.
%K nonn,cons,easy
%O 1,1
%A _Jean-François Alcover_, Oct 23 2014
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