|
Search: id:A053520
|
|
|
| A053520 |
|
Denominators of successive convergents to continued fraction 1/(2+2/(3+3/(4+4/(5+5/(6+6/(7+7/(8+8/9+...))))))). |
|
+0
5
|
|
| 2, 8, 38, 74, 1522, 11986, 11838, 1054766, 11506538, 45706526, 1772006854, 24681524038, 11169012898, 5874202721042, 99515904921182, 66139171377658, 3075946152109262, 51924337160029042, 4714400135799462226
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
REFERENCES
|
M. A. Stern, Theorie der Kettenbr"uche und ihre Anwendung, Crelle, 1832, pp. 1-22.
|
|
EXAMPLE
|
Convergents are 1/2, 3/8, 15/38, 29/74, 597/1522, 4701/11986, ...
|
|
MAPLE
|
for j from 1 to 50 do printf(`%d, `, denom(cfrac([0, seq([i, i+1], i=1..j)]))); od:
|
|
CROSSREFS
|
Cf. A053518, A053519, A053556, A053557.
Sequence in context: A020076 A020130 A159051 this_sequence A112738 A155609 A123164
Adjacent sequences: A053517 A053518 A053519 this_sequence A053521 A053522 A053523
|
|
KEYWORD
|
nonn,frac,nice,easy
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Jan 15 2000
|
|
EXTENSIONS
|
More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 02 2000
|
|
|
Search completed in 0.002 seconds
|
