A068139 Continued fraction expansion for sinh(1).

1, 5, 1, 2, 2, 2, 1, 2, 7, 5, 1, 1, 1, 2, 2, 19, 1, 2, 1, 7, 1, 1, 9, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 4, 5, 3, 5, 1, 3, 1, 1, 1, 2, 7, 1, 9, 1, 1, 2, 1, 21, 1, 18, 1, 2, 734, 1, 2, 1, 84, 2, 2, 1, 1, 2, 10, 1, 3, 7, 1, 16, 1, 2, 4, 56, 1, 13, 16, 208

Offset: 0

Author

Benoit Cloitre, Mar 13 2002

Keywords

• easy
• nonn
• cofr

Comments

If an extra zero is added to the beginning of this sequence, continued fraction for csch(1) = 1/sinh(1). - Rick L. Shepherd, Aug 07 2002

Links

• Robert Israel, Table of n, a(n) for n = 0..9999

Crossrefs

Cf. A068118, A073742 (decimal expansion), A073745 (decimal expansion of csch(1)).

Cf. A078980, A078981 (convergents).

Programs

Maple

numtheory:-cfrac(sinh(1),100,quotients)[1..-2]; # Robert Israel, Nov 14 2020

Mathematica

ContinuedFraction[Sinh@ 1, 82] (* Michael De Vlieger, Sep 04 2016 *)

PARI

contfrac(sinh(1)) \\ Michel Marcus, Sep 04 2016

Extensions

Offset changed by Andrew Howroyd, Aug 05 2024