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A117596
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Start with x=6/5; repeatedly apply the map x -> x*ceiling(x); sequence gives numerators of the resulting sequence of fractions.
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2
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6, 12, 36, 288, 16704, 55808064, 622908012647232, 77602878444025201997703040704, 1204441348559630271252918141028336694332989128001036771264, 290135792424028156178425357986052529062710984863337179470336908191924417208517059859206222048920739921330978585792
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| After 18 terms the fractions become integers, the first of which has 57735 digits.
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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.
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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.
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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.
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CROSSREFS
| Cf. A072340, A085276.
Sequence in context: A176681 A064476 A038266 * A096377 A026083 A128453
Adjacent sequences: A117593 A117594 A117595 * A117597 A117598 A117599
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KEYWORD
| nonn,frac
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 07 2006
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