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Decimal expansion of exp(Pi*sqrt(29/8)).
1

%I #13 Sep 08 2022 08:45:15

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

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

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

%N Decimal expansion of exp(Pi*sqrt(29/8)).

%C Let q = this constant, then q = 396 - Sum_{k>=1} A052241(k)/q^(4k-1) where A052241 is the McKay-Thompson series of class 8C for Monster.

%H G. C. Greubel, <a href="/A100811/b100811.txt">Table of n, a(n) for n = 3..10000</a>

%H Titus Piezas III <a href="http://sites.google.com/site/tpiezas/ramanujan">The Ramanujan Pages</a>

%e 395.9999995813146243181087813157584866388138244764778475...

%t RealDigits[Exp[Pi Sqrt[29/8]],10,120][[1]] (* _Harvey P. Dale_, Feb 08 2015 *)

%o (PARI) exp(Pi*sqrt(29/8)) \\ _G. C. Greubel_, Feb 13 2018

%o (Magma) R:= RealField(); Exp(Pi(R)*Sqrt(29/8)); // _G. C. Greubel_, Feb 13 2018

%Y Cf. A052241, A060295.

%K cons,nonn

%O 3,1

%A _Gerald McGarvey_, Jan 05 2005