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A322603
Continued fraction for sinh(gamma).
1
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, 11, 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
OFFSET
0,6
COMMENTS
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).
EXAMPLE
0 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + 1/(3 + 1/(2 + 1/(11 + ...))))))) = 0.60980646721165640770618044...
MAPLE
with(numtheory): cfrac(sinh(gamma), 100, 'quotients'); # Muniru A Asiru, Dec 20 2018
MATHEMATICA
ContinuedFraction[ (Exp[EulerGamma] - Exp[ -EulerGamma])/2, 100]
PROG
(PARI) contfrac(sinh(Euler)) \\ Michel Marcus, Dec 21 2018
CROSSREFS
Cf. A147709 (decimal expansion), A001620 (Euler-Mascheroni constant), A322602.
Sequence in context: A153187 A248242 A215598 * A152177 A110326 A112061
KEYWORD
nonn,cofr
AUTHOR
Tristan Cam, Dec 20 2018
EXTENSIONS
Offset changed and data corrected by Andrew Howroyd, Jul 05 2024
STATUS
approved