|
|
A042088
|
|
Numerators of continued fraction convergents to sqrt(568).
|
|
2
|
|
|
23, 24, 119, 143, 6697, 6840, 34057, 40897, 1915319, 1956216, 9740183, 11696399, 547774537, 559470936, 2785658281, 3345129217, 156661602263, 160006731480, 796688528183, 956695259663, 44804670472681
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
G.f.: -(x^7 - 23*x^6 + 24*x^5 - 119*x^4 - 143*x^3 - 119*x^2 - 24*x - 23)/(x^8 - 286*x^4 + 1). - Vincenzo Librandi, Nov 16 2013
|
|
MATHEMATICA
|
Numerator[Convergents[Sqrt[568], 30]] (* or *) CoefficientList[Series[-(x^7 - 23 x^6 + 24 x^5 - 119 x^4 - 143 x^3 - 119 x^2 - 24 x - 23)/(x^8 - 286 x^4 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 16 2013 *)
|
|
PROG
|
(Magma) I:=[23, 24, 119, 143, 6697, 6840, 34057, 40897]; [n le 8 select I[n] else 286*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Nov 16 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr,frac,easy,less
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|