The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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