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A322602 Continued fraction for cosh(gamma). 1
1, 5, 1, 5, 4, 1, 5, 1, 1, 2, 9, 1, 1, 8, 1, 16, 1, 2, 1, 2, 1, 1, 1, 4, 27, 2, 1, 1, 1, 2, 1, 8, 1, 3, 5, 1, 1, 1, 1, 1, 16, 2, 1, 4, 1, 2, 62, 1, 8, 12, 1, 4, 1, 4, 3, 1, 1, 4, 1, 3, 20, 1, 2, 2, 106, 1, 13, 2, 7, 2, 1, 2, 4, 7, 1, 2, 1, 1, 2, 11, 1, 1, 2, 24, 1, 2, 2, 1, 1, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Continued fraction of (exp(gamma)+exp(-gamma))/2 = cosh(gamma) (A147708), where gamma is the Euler-Mascheroni constant (A001620).

See A322603 for the continued fraction of sinh(gamma).

LINKS

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

EXAMPLE

1 + 1/(5 + 1/(1 + 1/(5 + 1/(4 + 1/(1 + 1/(5 + 1/(1 + ...))))))) = 1.17126595077854157753032365...

MAPLE

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

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A147708 (decimal expansion), A001620 (Euler-Mascheroni constant), A322603.

Sequence in context: A060186 A240995 A122002 * A228639 A073226 A021198

Adjacent sequences:  A322599 A322600 A322601 * A322603 A322604 A322605

KEYWORD

nonn,cofr

AUTHOR

Tristan Cam, Dec 20 2018

STATUS

approved

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Last modified May 25 15:24 EDT 2019. Contains 323572 sequences. (Running on oeis4.)