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A227514
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Decimal expansion of the square root of 2/e.
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0
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8, 5, 7, 7, 6, 3, 8, 8, 4, 9, 6, 0, 7, 0, 6, 7, 9, 6, 4, 8, 0, 1, 8, 9, 6, 4, 1, 2, 7, 8, 7, 7, 2, 4, 7, 8, 1, 2, 0, 7, 9, 8, 6, 0, 7, 7, 5, 2, 5, 7, 0, 2, 9, 3, 9, 9, 9, 7, 4, 1, 9, 4, 8, 1, 1, 7, 9, 4, 9, 9, 8, 4, 0, 1, 8, 3, 0, 0, 2, 1, 6, 0
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OFFSET
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0,1
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COMMENTS
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This appears for example while integrating the product of the absolute value of H_2(x) exp(-x^2) over the real line, where H_2 is the second Hermite polynomial.
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LINKS
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FORMULA
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Equals Product_{n>=1} (e / (1 + 1/(n-1/2))^n).
Equals Product_{n>=1} (e * (1 - 1/(n+1/2))^n). (End)
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EXAMPLE
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0.85776388496070679648018...
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MAPLE
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evalf(sqrt(2/exp(1))) ;
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MATHEMATICA
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RealDigits[Sqrt[2/E], 10, 120][[1]] (* Amiram Eldar, Jul 08 2023 *)
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PROG
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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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