|
|
A041270
|
|
Numerators of continued fraction convergents to sqrt(148).
|
|
2
|
|
|
12, 73, 1764, 10657, 257532, 1555849, 37597908, 227143297, 5489037036, 33161365513, 801361809348, 4841332221601, 116993335127772, 706801342988233, 17080225566845364, 103188154744060417, 2493595939424295372
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
Numerator[Convergents[Sqrt[148], 30]] (* or *) CoefficientList[Series[(12 + 73 x + 12 x^2 - x^3)/(1 - 146 x^2 + x^4), {x, 0, 25}], x](* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 146, 0, -1}, {12, 73, 1764, 10657}, 20] (* Harvey P. Dale, Apr 28 2018 *)
|
|
PROG
|
(Magma) I:=[12, 73, 1764, 10657]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 01 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr,frac,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|