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A117596 Start with x=6/5; repeatedly apply the map x -> x*ceiling(x); sequence gives numerators of the resulting sequence of fractions. +0
3
6, 12, 36, 288, 16704, 55808064, 622908012647232, 77602878444025201997703040704, 1204441348559630271252918141028336694332989128001036771264, 290135792424028156178425357986052529062710984863337179470336908191924417208517059859206222048920739921330978585792 (list; graph; listen)
OFFSET

1,1

COMMENT

After 18 terms the fractions become integers, the first of which has 57735 digits.

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.

CROSSREFS

Cf. A072340, A085276.

Sequence in context: A096932 A064476 A038266 this_sequence A096377 A026083 A128453

Adjacent sequences: A117593 A117594 A117595 this_sequence A117597 A117598 A117599

KEYWORD

nonn,frac

AUTHOR

njas, Apr 07 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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