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A322603 Continued fraction for sinh(gamma). 1

%I

%S 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,

%T 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,

%U 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

%N Continued fraction for sinh(gamma).

%C Continued fraction of (exp(gamma)-exp(-gamma))/2 = sinh(gamma) (A147709), where gamma is the Euler-Mascheroni constant (A001620).

%C See A322602 for the continued fraction of cosh(gamma).

%e 0 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + 1/(3 + 1/(2 + 1/(11 + ...))))))) = 0.60980646721165640770618044...

%p with(numtheory): cfrac(sinh(gamma),100,'quotients'); # _Muniru A Asiru_, Dec 20 2018

%t ContinuedFraction[ (Exp[EulerGamma] - Exp[ -EulerGamma])/2, 100]

%o (PARI) contfrac(sinh(Euler)) \\ _Michel Marcus_, Dec 21 2018

%Y Cf. A147709 (decimal expansion), A001620 (Euler-Mascheroni constant), A322602.

%K nonn,cofr

%O 1,6

%A _Tristan Cam_, Dec 20 2018

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Last modified September 25 12:38 EDT 2021. Contains 347654 sequences. (Running on oeis4.)