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).

1, 4, 76, 31996, 6509938156, 305202648617286353116, 751042364315893065602546739334386372522316, 5042066805299767273773988103135929366654804375467223444639109745553463308647365564476

Offset: 1

Author

Hugo Pfoertner, Feb 26 2003

Keywords

• frac
• nonn

Comments

Suggested by Leroy Quet, Feb 26 2003.

Examples

			See under A080988.
		

Crossrefs

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

Programs

Mathematica

NestList[#+1/(3+1/#)&,1,10]//Denominator (* Harvey P. Dale, Apr 19 2023 *)

Formula

See under A080988.