A078983 - OEIS

%I #21 Aug 05 2024 12:45:36

%S 1,2,3,17,54,179,412,591,12823,13414,26237,39651,184841,409333,594174,

%T 28929685,2054601809,14411142348,16465744157,30876886505,294357722702,

%U 325234609207,944826941116,1270061550323,14915503994669,16185565544992

%N Numerators of continued fraction convergents to cosh(1).

%H Vincenzo Librandi, <a href="/A078983/b078983.txt">Table of n, a(n) for n = 0..199</a>

%t Numerator[Convergents[Cosh[1],30]] (* _Harvey P. Dale_, Feb 02 2012 *)

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

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

%K frac,nonn

%O 0,2

%A _Benoit Cloitre_, Dec 20 2002

%E Offset changed by _Andrew Howroyd_, Aug 05 2024