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A322601 Continued fraction for sin(gamma). 1
0, 1, 1, 4, 1, 33, 1, 6, 2, 5, 1, 22, 1, 261, 1, 5, 1, 4, 1, 45, 1, 4, 2, 9, 1, 2, 3, 7, 1, 2, 1, 2, 6, 1, 1, 2, 2, 1, 5, 5, 5, 1, 1, 2, 1, 1, 7, 1, 7, 2, 2, 1, 3, 9, 11, 9, 4, 1, 8, 1, 1, 1, 5, 1, 22, 1, 1, 1, 2, 1, 7, 5, 1, 1, 16, 2, 5, 2, 1, 1, 2, 1, 1, 1, 7, 2, 4, 2, 1, 1, 1, 24 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Continued fraction of the imaginary part of exp(i*gamma) = sin(gamma) (A119807), where gamma is the Euler-Mascheroni constant (A001620).

See A322545 for the continued fraction of the real part.

LINKS

Table of n, a(n) for n=1..92.

EXAMPLE

0 + 1/(1 + 1/(1 + 1/(4 + 1/(1 + 1/(33 + 1/(1 + 1/(6 + ...))))))) = 0.5456928232039927881573565...

MAPLE

with(numtheory): cfrac(sin(gamma), 100, 'quotients'); # Muniru A Asiru, Dec 20 2018

MATHEMATICA

ContinuedFraction[ Sin[EulerGamma], 100]

PROG

(PARI) contfrac(sin(Euler)) \\ Michel Marcus, Dec 21 2018

CROSSREFS

Cf. A119807 (decimal expansion), A001620 (Euler-Mascheroni constant), A322545.

Sequence in context: A174501 A051142 A266240 * A075804 A059844 A277169

Adjacent sequences:  A322598 A322599 A322600 * A322602 A322603 A322604

KEYWORD

nonn,cofr

AUTHOR

Tristan Cam, Dec 20 2018

STATUS

approved

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Last modified May 26 07:44 EDT 2019. Contains 323579 sequences. (Running on oeis4.)