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A244258 Decimal expansion of sqrt(2*Pi)*log(2), a constant associated with asymptotic evaluation of random mapping statistics. 4

%I #10 Sep 08 2022 08:46:08

%S 1,7,3,7,4,6,2,3,2,1,2,7,2,3,1,8,2,8,3,6,6,0,3,0,9,1,6,4,7,4,4,3,6,4,

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

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

%N Decimal expansion of sqrt(2*Pi)*log(2), a constant associated with asymptotic evaluation of random mapping statistics.

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.4.2 Random Mapping Statistics, p. 288.

%H G. C. Greubel, <a href="/A244258/b244258.txt">Table of n, a(n) for n = 1..10000</a>

%e 1.7374623212723182836603...

%t RealDigits[Sqrt[2*Pi]*Log[2], 10, 100] // First

%o (PARI) sqrt(2*Pi)*log(2) \\ _G. C. Greubel_, Jul 27 2018

%o (Magma) R:= RealField(); Sqrt(2*Pi(R))*Log(2); // _G. C. Greubel_, Jul 27 2018

%Y Cf. A002162, A019727, A084945, A244067.

%K nonn,cons

%O 1,2

%A _Jean-François Alcover_, Jun 24 2014

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