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A100378
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Decimal expansion of exp(Pi*sqrt(89/3)).
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1
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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
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OFFSET
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8,1
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COMMENTS
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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.
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LINKS
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EXAMPLE
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27000041.999971000057006717059989970669906272703208212...
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MATHEMATICA
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RealDigits[Exp[Pi*Sqrt[89/3]], 10, 100][[1]] (* G. C. Greubel, Feb 14 2018 *)
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PROG
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(Magma) R:= RealField(); Exp(Pi(R)*Sqrt(89/3)); // G. C. Greubel, Feb 14 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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