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A188884
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Continued fraction of (1 + sqrt(1 + Pi^2))/Pi.
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1
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1, 2, 1, 2, 1, 1, 3, 1, 1, 5, 1, 7, 1, 1, 23, 2, 2, 4, 3, 1, 11, 158, 1, 1, 1, 1, 4, 2, 1, 6, 2, 19, 75, 1, 1, 1, 28, 1, 29, 6, 8, 1, 5, 1, 4, 2, 1, 8, 1, 1, 19, 1, 1, 9, 2, 2, 3, 1, 2, 11, 1, 1, 3, 1, 1, 4, 169, 1, 1, 2, 1, 3, 1, 1, 10, 2, 1, 3, 8, 2, 4, 8, 5, 1, 8, 1, 7, 1, 1, 1, 1, 4, 38, 1, 5, 1, 43, 1, 1, 1, 1, 2, 1, 8, 1, 20, 1, 1, 1, 2, 13, 51, 2, 21, 1, 2, 5, 1, 1, 1
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OFFSET
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0,2
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COMMENTS
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LINKS
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EXAMPLE
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(1 + sqrt(1 + Pi^2))/Pi = [1, 2, 1, 2, 1, 1, 3, 1, 1, 5, 1, 7, 1, 1, 23, 2, ...].
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MATHEMATICA
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r = 2/Pi; t = (r + (4 + r^2)^(1/2))/2; FullSimplify[t]
N[t, 130]
RealDigits[N[t, 130]][[1]]
ContinuedFraction[t, 120]
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CROSSREFS
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KEYWORD
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nonn,cofr
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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