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A188804
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Continued fraction for (Pi - sqrt(-4 + Pi^2))/2.
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2
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0, 2, 1, 3, 1, 1, 2, 3, 1, 4, 1, 1, 34, 4, 1, 3, 2, 1, 2, 2, 14, 1, 9, 5, 1, 1, 1, 1, 1, 9, 2, 1, 3, 2, 2, 2, 3, 26, 1, 8, 10, 2, 1, 23, 1, 67, 1, 2, 5, 1, 2, 3, 1, 1, 2, 1, 1, 17, 1, 2, 1, 9, 3, 8, 3, 3, 1, 2, 1, 21, 4, 1, 3, 1, 74, 1, 3, 1, 26, 1, 19, 1, 1, 2, 3, 1, 5, 1, 4, 2, 1, 2, 1, 2, 1, 1, 1, 1, 3, 4, 1, 1, 2, 1, 1, 1, 7, 1, 2, 38, 1, 9, 5, 6, 1, 1, 2, 1, 1, 4
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OFFSET
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1,2
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LINKS
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EXAMPLE
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(Pi - sqrt(-4 + Pi^2))/2 = [0,2,1,3,1,1,2,3,1,5,1,1,34,...].
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MAPLE
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numtheory:-cfrac((Pi-sqrt(Pi^2-4))/2, 40, 'quotients'); # Robert Israel, Jun 15 2015
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MATHEMATICA
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r = 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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PROG
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(PARI) contfrac((Pi-sqrt(-4+Pi^2))/2) \\ Michel Marcus, Jun 14 2015
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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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