A068115 -id:A068115 - cp's OEIS frontend

A222481 Continued fraction for cos(1)/(1+cos(1)).

0, 2, 1, 5, 1, 2, 2, 1, 2, 1, 1, 40, 4, 3, 1, 3, 4, 46, 3, 5, 2, 12, 3, 1, 4, 11, 1, 3, 3, 106, 2, 1, 1, 2, 28, 1, 7, 32, 3, 42, 1, 9, 1, 4, 2, 2, 1, 1, 15, 1, 5, 1, 8, 1, 1, 1, 3, 1, 7, 18, 13, 1, 1, 1, 1, 1, 5, 9, 7, 3, 3, 1, 1, 18, 6, 5, 1, 11, 1, 1, 10, 2

Offset: 0

Alois P. Heinz, Feb 21 2013

Essentially the same as A068115: a(n) = A068115(n) for n != 2.

			0.35077679479523758155811675...

Cf. A222480 (decimal expansion), A222482 (Engel expansion), A049470 (cos(1)), A073448 (1/cos(1)), A068115.

numtheory[cfrac](evalf(1/(1+1/cos(1)), 250), 130, 'quotients')[];

cos(1)/(1+cos(1)) = 1/(1+1/cos(1)) = 1/(1+sec(1)).

Offset changed by Andrew Howroyd, Jul 03 2024

A068116 Continued fraction expansion for sin(1).

Original entry on oeis.org

0, 1, 5, 3, 4, 19, 2, 2, 2, 2, 7, 2, 2, 1, 136, 3, 20, 3, 1, 3, 2, 1, 1, 1, 1, 10, 11, 2, 9, 54, 3, 1, 16, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 1, 3, 11, 1, 1, 25, 1, 1, 14, 3, 1, 2, 1, 2, 2, 2, 2, 1, 2, 9, 6, 1, 4, 4, 1, 5, 1, 14, 6, 2, 12, 1, 1, 1, 1, 2, 11, 15, 152

Offset: 0

Benoit Cloitre, Mar 13 2002

G. C. Greubel, Table of n, a(n) for n = 0..9999

Cf. A049469 (decimal expansion), A068115.

SetDefaultRealField(RealField(100)); ContinuedFraction(Sin(1)); // G. C. Greubel, Nov 30 2018

ContinuedFraction[Sin[1],90] (* Harvey P. Dale, Sep 16 2011 *)

default(realprecision, 100); contfrac(sin(1)) \\ G. C. Greubel, Nov 30 2018

continued_fraction_list(sin(1), nterms=100) # G. C. Greubel, Nov 30 2018

Offset changed by Andrew Howroyd, Aug 05 2024

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A222481 Continued fraction for cos(1)/(1+cos(1)).

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A068116 Continued fraction expansion for sin(1).

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