OFFSET
1,1
COMMENTS
After 18 terms the fractions become integers, the first of which has 57735 digits.
REFERENCES
N. J. A. Sloane, Seven Staggering Sequences, in Homage to a Pied Puzzler, E. Pegg Jr., A. H. Schoen and T. Rodgers (editors), A. K. Peters, Wellesley, MA, 2009, pp. 93-110.
LINKS
J. C. Lagarias and N. J. A. Sloane, Approximate squaring (pdf, ps), Experimental Math., 13 (2004), 113-128.
N. J. A. Sloane, Seven Staggering Sequences.
EXAMPLE
The sequence of fractions begins 6/5, 12/5, 36/5, 288/5, 16704/5, 55808064/5, 622908012647232/5, 77602878444025201997703040704/5, ... The first 17 denominators are 5, the rest are 1.
MATHEMATICA
f[x_] := x*Ceiling[x]; NestList[f, 6/5, 9] // Numerator (* Jean-François Alcover, Nov 18 2013 *)
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Apr 07 2006
STATUS
approved