|
|
A041872
|
|
Numerators of continued fraction convergents to sqrt(458).
|
|
2
|
|
|
21, 43, 107, 4537, 9181, 22899, 970939, 1964777, 4900493, 207785483, 420471459, 1048728401, 44467064301, 89982857003, 224432778307, 9516159545897, 19256751870101, 48029663286099, 2036502609886259
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (21 + 43*x + 107*x^2 + 43*x^3 - 21*x^4 + x^5)/(1 - 214*x^3 - x^6). [Bruno Berselli, Nov 11 2013]
|
|
MATHEMATICA
|
Numerator[Convergents[Sqrt[458], 20]] (* Harvey P. Dale, Aug 26 2013 *)
LinearRecurrence[{0, 0, 214, 0, 0, 1}, {21, 43, 107, 4537, 9181, 22899}, 30] (* Bruno Berselli, Nov 11 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr,frac,easy,less
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|