A080989 - OEIS

A080989

Define b by b(1) = 1 and for n>1, b(n) = b(n-1)+1/(3+1/b(n-1)); sequence gives denominator of b(n).

%I #10 Apr 19 2023 13:27:00

%S 1,4,76,31996,6509938156,305202648617286353116,

%T 751042364315893065602546739334386372522316,

%U 5042066805299767273773988103135929366654804375467223444639109745553463308647365564476

%N Define b by b(1) = 1 and for n>1, b(n) = b(n-1)+1/(3+1/b(n-1)); sequence gives denominator of b(n).

%C Suggested by _Leroy Quet_, Feb 26 2003.

%F See under A080988.

%e See under A080988.

%t NestList[#+1/(3+1/#)&,1,10]//Denominator (* _Harvey P. Dale_, Apr 19 2023 *)

%o Reduce: See under A080988.

%Y Cf. A080988, A080990, A080991, A079269, A079278.

%K frac,nonn

%O 1,2

%A _Hugo Pfoertner_, Feb 26 2003