|
|
A041667
|
|
Denominators of continued fraction convergents to sqrt(352).
|
|
2
|
|
|
1, 1, 4, 21, 193, 986, 3151, 4137, 152083, 156220, 620743, 3259935, 29960158, 153060725, 489142333, 642203058, 23608452421, 24250655479, 96360418858, 506052749769, 4650835166779, 23760228583664, 75931520917771, 99691749501435, 3664834502969431
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,155234,0,0,0,0,0,0,0,-1).
|
|
FORMULA
|
G.f.: -(x^14 -x^13 +4*x^12 -21*x^11 +193*x^10 -986*x^9 +3151*x^8 -4137*x^7 -3151*x^6 -986*x^5 -193*x^4 -21*x^3 -4*x^2 -x -1) / ((x^8 -394*x^4 +1)*(x^8 +394*x^4 +1)). - Colin Barker, Nov 21 2013
|
|
MATHEMATICA
|
|
|
PROG
|
(Magma) I:=[1, 1, 4, 21, 193, 986, 3151, 4137, 152083, 156220, 620743, 3259935, 29960158, 153060725, 489142333, 642203058]; [n le 16 select I[n] else 155234*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|