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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).
2
1, 4, 76, 31996, 6509938156, 305202648617286353116, 751042364315893065602546739334386372522316, 5042066805299767273773988103135929366654804375467223444639109745553463308647365564476
OFFSET
1,2
COMMENTS
Suggested by Leroy Quet, Feb 26 2003.
FORMULA
See under A080988.
EXAMPLE
See under A080988.
MATHEMATICA
NestList[#+1/(3+1/#)&, 1, 10]//Denominator (* Harvey P. Dale, Apr 19 2023 *)
PROG
Reduce: See under A080988.
CROSSREFS
KEYWORD
frac,nonn
AUTHOR
Hugo Pfoertner, Feb 26 2003
STATUS
approved