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A340533
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Decimal expansion of log_2(4/Pi).
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2
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3, 4, 8, 5, 0, 3, 8, 7, 0, 5, 2, 7, 6, 8, 1, 2, 0, 1, 9, 5, 6, 7, 2, 0, 7, 0, 4, 8, 9, 1, 9, 9, 2, 6, 6, 4, 9, 8, 1, 5, 2, 3, 0, 7, 3, 2, 3, 6, 9, 5, 8, 4, 7, 0, 5, 9, 3, 2, 1, 1, 4, 8, 4, 5, 1, 1, 8, 9, 7, 0, 3, 6, 4, 1, 5, 4, 5, 8, 5, 6, 1, 0, 3, 9, 7, 3, 5
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OFFSET
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0,1
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COMMENTS
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Probability of a coefficient in the continued fraction being even, where the continued fraction coefficients satisfy the Gauss-Kuzmin distribution.
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LINKS
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FORMULA
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Equals -Sum_{k >= 1} log_2(1-1/(2*k+1)^2).
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EXAMPLE
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0.348503870527681201956720704891992664981523...
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MATHEMATICA
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RealDigits[Log[4/Pi]/Log[2], 10, 100][[1]] (* Amiram Eldar, Jan 10 2021 *)
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PROG
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(PARI) log(4/Pi)/log(2)
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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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