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A322602
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Continued fraction for cosh(gamma).
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4
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1, 5, 1, 5, 4, 1, 5, 1, 1, 2, 9, 1, 1, 8, 1, 16, 1, 2, 1, 2, 1, 1, 1, 4, 27, 2, 1, 1, 1, 2, 1, 8, 1, 3, 5, 1, 1, 1, 1, 1, 16, 2, 1, 4, 1, 2, 62, 1, 8, 12, 1, 4, 1, 4, 3, 1, 1, 4, 1, 3, 20, 1, 2, 2, 106, 1, 13, 2, 7, 2, 1, 2, 4, 7, 1, 2, 1, 1, 2, 11, 1, 1, 2, 24, 1, 2, 2, 1, 1, 12
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OFFSET
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1,2
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COMMENTS
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Continued fraction of (exp(gamma)+exp(-gamma))/2 = cosh(gamma) (A147708), where gamma is the Euler-Mascheroni constant (A001620).
See A322603 for the continued fraction of sinh(gamma).
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LINKS
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EXAMPLE
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1 + 1/(5 + 1/(1 + 1/(5 + 1/(4 + 1/(1 + 1/(5 + 1/(1 + ...))))))) = 1.17126595077854157753032365...
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MAPLE
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with(numtheory): cfrac(cosh(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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