|
|
A041414
|
|
Numerators of continued fraction convergents to sqrt(222).
|
|
2
|
|
|
14, 15, 134, 149, 4306, 4455, 39946, 44401, 1283174, 1327575, 11903774, 13231349, 382381546, 395612895, 3547284706, 3942897601, 113948417534, 117891315135, 1057078938614, 1174970253749, 33956246043586
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (14 +15*x +134*x^2 +149*x^3 +134*x^4 -15*x^5 +14*x^6 -x^7) / (1 -298*x^4 +x^8). - Vincenzo Librandi, Nov 02 2013
|
|
MATHEMATICA
|
Numerator[Convergents[Sqrt[222], 30]] (* or *) CoefficientList[Series[(14 + 15 x + 134 x^2 + 149 x^3 + 134 x^4 - 15 x^5 + 14 x^6 - x^7)/(1 - 298 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 02 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr,frac,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|