A078983 Numerators of continued fraction convergents to cosh(1).

1, 2, 3, 17, 54, 179, 412, 591, 12823, 13414, 26237, 39651, 184841, 409333, 594174, 28929685, 2054601809, 14411142348, 16465744157, 30876886505, 294357722702, 325234609207, 944826941116, 1270061550323, 14915503994669, 16185565544992

Offset: 0

Author

Benoit Cloitre, Dec 20 2002

Keywords

• frac
• nonn

Links

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

Crossrefs

Cf. A068118 (continued fraction), A073743 (decimal expansion), A078982 (denominators).

Programs

Mathematica

Numerator[Convergents[Cosh[1],30]] (* Harvey P. Dale, Feb 02 2012 *)

PARI

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

Extensions

Offset changed by Andrew Howroyd, Aug 05 2024