|
Search: id:A117596
|
|
|
| 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, 29013579242402815617842535798605252906271098486333717947033690819192441720851705\ 9859206222048920739921330978585792
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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.
|
|
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
|
N. J. A. Sloane (njas(AT)research.att.com), Apr 07 2006
|
|
|
Search completed in 0.002 seconds
|
