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A175573
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Decimal expansion of Pi^(1/4)/Gamma(3/4).
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13
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1, 0, 8, 6, 4, 3, 4, 8, 1, 1, 2, 1, 3, 3, 0, 8, 0, 1, 4, 5, 7, 5, 3, 1, 6, 1, 2, 1, 5, 1, 0, 2, 2, 3, 4, 5, 7, 0, 7, 0, 2, 0, 5, 7, 0, 7, 2, 4, 5, 2, 1, 8, 8, 8, 5, 9, 2, 0, 7, 9, 0, 3, 1, 5, 9, 8, 1, 8, 5, 6, 7, 3, 2, 2, 6, 7, 1, 0, 9, 7, 9, 5, 9, 6, 0, 5, 6, 1, 6, 1, 8, 4, 8, 9, 6, 7, 9, 7, 6, 4, 0, 3, 7, 4, 1
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OFFSET
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1,3
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COMMENTS
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Entry 34 a of chapter 11 of Ramanujan's second notebook. Entry 34 b is A085565.
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LINKS
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FORMULA
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Equals Sum_{n=-oo..oo} exp(-Pi*n^2), or also EllipticTheta(3, 0, exp(-Pi)). - Jean-François Alcover, Jul 04 2013
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EXAMPLE
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1.0864348112133080145753161...
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MAPLE
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Pi^(1/4)/GAMMA(3/4) ; evalf(%) ;
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MATHEMATICA
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PROG
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(Magma) C<i> := ComplexField(); [(Pi(C))^(1/4)/Gamma(3/4)]; // G. C. Greubel, Nov 05 2017
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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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