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A100378 Decimal expansion of exp(Pi*sqrt(89/3)). 1
2, 7, 0, 0, 0, 0, 4, 1, 9, 9, 9, 9, 7, 1, 0, 0, 0, 0, 5, 7, 0, 0, 6, 7, 1, 7, 0, 5, 9, 9, 8, 9, 9, 7, 0, 6, 6, 9, 9, 0, 6, 2, 7, 2, 7, 0, 3, 2, 0, 8, 2, 1, 2, 1, 3, 9, 9, 6, 8, 7, 3, 1, 4, 5, 0, 3, 7, 0, 8, 1, 9, 3, 5, 2, 0, 4, 1, 3, 5, 5, 8, 4, 0, 9, 7, 6, 4, 6, 0, 4, 3, 0, 2, 0, 5, 6, 1, 3, 8, 7, 7, 5, 2, 6, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
8,1
COMMENTS
Let q = this constant, then q = 300^3 + Sum_{k=0...infinity} (-1)^i*A030197(i)/q^i where A030197 is the McKay-Thompson series of class 3A for Monster, expansion of Hauptmodul for X_0^{+}(3) and expansion of (h+27)^2/h, where h = (eta(q)/eta(q^3))^12.
LINKS
Titus Piezas III, Pi Formulas
EXAMPLE
27000041.999971000057006717059989970669906272703208212...
MATHEMATICA
RealDigits[Exp[Pi*Sqrt[89/3]], 10, 100][[1]] (* G. C. Greubel, Feb 14 2018 *)
PROG
(PARI) exp(Pi*sqrt(89/3)) \\ G. C. Greubel, Feb 14 2018
(Magma) R:= RealField(); Exp(Pi(R)*Sqrt(89/3)); // G. C. Greubel, Feb 14 2018
CROSSREFS
Sequence in context: A299376 A364750 A167446 * A020819 A111953 A356470
KEYWORD
nonn,cons
AUTHOR
Gerald McGarvey, Dec 29 2004
STATUS
approved

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Last modified March 29 06:57 EDT 2024. Contains 371265 sequences. (Running on oeis4.)