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A322601
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Continued fraction for sin(gamma).
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1
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0, 1, 1, 4, 1, 33, 1, 6, 2, 5, 1, 22, 1, 261, 1, 5, 1, 4, 1, 45, 1, 4, 2, 9, 1, 2, 3, 7, 1, 2, 1, 2, 6, 1, 1, 2, 2, 1, 5, 5, 5, 1, 1, 2, 1, 1, 7, 1, 7, 2, 2, 1, 3, 9, 11, 9, 4, 1, 8, 1, 1, 1, 5, 1, 22, 1, 1, 1, 2, 1, 7, 5, 1, 1, 16, 2, 5, 2, 1, 1, 2, 1, 1, 1, 7, 2, 4, 2, 1, 1, 1, 24
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OFFSET
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1,4
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COMMENTS
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Continued fraction of the imaginary part of exp(i*gamma) = sin(gamma) (A119807), where gamma is the Euler-Mascheroni constant (A001620).
See A322545 for the continued fraction of the real part.
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LINKS
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EXAMPLE
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0 + 1/(1 + 1/(1 + 1/(4 + 1/(1 + 1/(33 + 1/(1 + 1/(6 + ...))))))) = 0.5456928232039927881573565...
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MAPLE
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with(numtheory): cfrac(sin(gamma), 100, 'quotients'); # Muniru A Asiru, Dec 20 2018
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MATHEMATICA
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ContinuedFraction[ Sin[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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