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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, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

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).

LINKS

Table of n, a(n) for n=1..90.

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

Adjacent sequences:  A322600 A322601 A322602 * A322604 A322605 A322606

KEYWORD

nonn,cofr

AUTHOR

Tristan Cam, Dec 20 2018

STATUS

approved

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Last modified August 5 18:22 EDT 2021. Contains 346488 sequences. (Running on oeis4.)