A100811 Decimal expansion of exp(Pi*sqrt(29/8)).

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, 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, 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

Offset: 3

Author

Gerald McGarvey, Jan 05 2005

Keywords

• cons
• nonn

Comments

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.

Examples

			395.9999995813146243181087813157584866388138244764778475...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 3..10000
• Titus Piezas III The Ramanujan Pages

Crossrefs

Cf. A052241, A060295.

Programs

Magma

R:= RealField(); Exp(Pi(R)*Sqrt(29/8)); // G. C. Greubel, Feb 13 2018

Mathematica

RealDigits[Exp[Pi Sqrt[29/8]],10,120][[1]] (* Harvey P. Dale, Feb 08 2015 *)

PARI

exp(Pi*sqrt(29/8)) \\ G. C. Greubel, Feb 13 2018