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A322603
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Continued fraction for sinh(gamma).
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1
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0, 1, 1, 1, 1, 3, 2, 11, 2, 1, 2, 3, 1, 8, 1, 1, 2, 3, 2, 8, 1, 3, 5, 17, 15, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 4, 1, 1, 1, 1, 2, 20, 19, 6, 7, 23, 14, 1, 10, 3, 2, 1, 1, 154, 5, 6, 2, 2, 1, 23, 1, 1, 28, 2, 2, 5, 2, 1, 1, 1, 1332, 1, 15, 1, 1, 1, 1, 1, 1, 2, 6, 2, 1, 2, 1, 4, 5, 28, 6, 1
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OFFSET
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1,6
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COMMENTS
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Continued fraction of (exp(gamma)-exp(-gamma))/2 = sinh(gamma) (A147709), where gamma is the Euler-Mascheroni constant (A001620).
See A322602 for the continued fraction of cosh(gamma).
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LINKS
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EXAMPLE
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0 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + 1/(3 + 1/(2 + 1/(11 + ...))))))) = 0.60980646721165640770618044...
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MAPLE
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with(numtheory): cfrac(sinh(gamma), 100, 'quotients'); # Muniru A Asiru, Dec 20 2018
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MATHEMATICA
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ContinuedFraction[ (Exp[EulerGamma] - Exp[ -EulerGamma])/2, 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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