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A231863
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Decimal expansion of 1/sqrt(2*Pi).
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11
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3, 9, 8, 9, 4, 2, 2, 8, 0, 4, 0, 1, 4, 3, 2, 6, 7, 7, 9, 3, 9, 9, 4, 6, 0, 5, 9, 9, 3, 4, 3, 8, 1, 8, 6, 8, 4, 7, 5, 8, 5, 8, 6, 3, 1, 1, 6, 4, 9, 3, 4, 6, 5, 7, 6, 6, 5, 9, 2, 5, 8, 2, 9, 6, 7, 0, 6, 5, 7, 9, 2, 5, 8, 9, 9, 3, 0, 1, 8, 3, 8, 5, 0, 1, 2, 5, 2, 3, 3, 3, 9, 0, 7, 3, 0, 6, 9, 3, 6, 4, 3, 0, 3, 0, 2
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OFFSET
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0,1
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COMMENTS
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Maximum of the probability density for standard error distribution (i.e., normal distribution density with unit variance).
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LINKS
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Roger Zarnowski and Charles Diminnie, Solution to Problem 934, Pi Mu Epsilon Journal, Vol. 10, No. 10 (1999), pp. 846-847.
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FORMULA
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Equals Integral_{x=-oo..oo} sin(Pi^2*x^2 + 1/x^2) dx (Zarnowski and Diminnie, 1999). - Amiram Eldar, May 21 2022
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EXAMPLE
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0.39894228040143267793994605993438186847585863116493465766592582967...
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MATHEMATICA
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RealDigits[1/Sqrt[2*Pi], 10, 100][[1]] (* G. C. Greubel, Jul 27 2018 *)
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PROG
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(Magma) R:= RealField(); 1/Sqrt(2*Pi(R)) // G. C. Greubel, Jul 27 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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