A078980 Numerators of continued fraction convergents to sinh(1).

1, 6, 7, 20, 47, 114, 161, 436, 3213, 16501, 19714, 36215, 55929, 148073, 352075, 6837498, 7189573, 21216644, 28406217, 220060163, 248466380, 468526543, 4465205267, 4933731810, 19266400697, 24200132507, 43466533204, 111133198915

Offset: 0

Author

Benoit Cloitre, Dec 20 2002

Keywords

• frac
• nonn

Crossrefs

Cf. A068139 (continued fraction), A073742 (decimal expansion), A078981 (denominators).

Programs

Mathematica

Numerator[Convergents[Sinh[1],30]] (* Harvey P. Dale, May 09 2013 *)

PARI

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

Extensions

Offset changed by Andrew Howroyd, Aug 05 2024