A078983 -id:A078983 - cp's OEIS frontend

A068118 Continued fraction expansion for cosh(1).

1, 1, 1, 5, 3, 3, 2, 1, 21, 1, 1, 1, 4, 2, 1, 48, 71, 7, 1, 1, 9, 1, 2, 1, 11, 1, 5, 1, 2, 3, 2, 2, 2, 1, 1, 2, 10, 1, 1, 5, 26, 1, 25, 1, 2, 1, 5, 1, 2, 2, 7, 1, 1, 8, 8, 2, 1, 7, 2, 1, 9, 1, 3, 1, 4, 1, 1, 3, 1, 1, 1, 5, 1, 3, 1, 5, 1, 1, 3, 1, 1, 1, 3, 7, 183

Offset: 0

Benoit Cloitre, Mar 13 2002

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

Cf. A068139, A073743 (decimal expansion), A073746 (decimal expansion of sech(1)).

Cf. A078982, A078983 (convergents).

ContinuedFraction[Cosh[1],90] (* Harvey P. Dale, Apr 29 2013 *)

Offset changed by Andrew Howroyd, Aug 05 2024

A078982 Denominators of continued fraction convergents to cosh(1).

Original entry on oeis.org

1, 1, 2, 11, 35, 116, 267, 383, 8310, 8693, 17003, 25696, 119787, 265270, 385057, 18748006, 1331493483, 9339202387, 10670695870, 20009898257, 190759780183, 210769678440, 612299137063, 823068815503, 9666056107596, 10489124923099

Offset: 0

Benoit Cloitre, Dec 20 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..199

Cf. A068118 (continued fraction), A073743 (decimal expansion), A078983 (numerators).

Denominator[Convergents[Cosh[1],30]] (* Harvey P. Dale, Jul 22 2014 *)

a(n)=component(component(contfracpnqn(contfrac(cosh(1),n+1)),1),2)

Offset changed by Andrew Howroyd, Aug 05 2024

cp's OEIS Frontend

A068118 Continued fraction expansion for cosh(1).

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