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A322545
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Continued fraction for cos(gamma).
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1
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0, 1, 5, 5, 1, 4, 8, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 18, 1, 73, 2, 5, 3, 5, 4, 1, 1, 1, 7, 1, 4, 2, 1, 1, 32, 12, 2, 19, 8, 1, 1, 1, 1, 1, 3, 5, 2, 70, 1, 6, 6, 1, 52, 2, 1, 2, 10, 1, 1, 1, 4, 1, 3, 1, 5, 1, 7, 3, 1, 1, 1, 20, 5, 6, 6, 2, 4, 3, 7, 1, 1, 2, 10, 1, 9, 12, 45, 1, 16, 2
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OFFSET
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1,3
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COMMENTS
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Continued fraction of the real part of exp(i*gamma) = cos(gamma) (A119806), where gamma is the Euler-Mascheroni constant (A001620).
See A322601 for the continued fraction of imaginary part.
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LINKS
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EXAMPLE
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0 + 1/(1 + 1/(5 + 1/(5 + 1/(1 + 1/(4 + 1/(8 + 1/(1 + ...))))))) = 0.8379852878801965399549928...
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MAPLE
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with(numtheory): cfrac(cos(gamma), 100, 'quotients'); # Muniru A Asiru, Dec 20 2018
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MATHEMATICA
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ContinuedFraction[ Cos[EulerGamma], 100]
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PROG
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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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STATUS
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approved
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