|
|
A041867
|
|
Denominators of continued fraction convergents to sqrt(455).
|
|
2
|
|
|
1, 3, 127, 384, 16255, 49149, 2080513, 6290688, 266289409, 805158915, 34082963839, 103054050432, 4362353081983, 13190113296381, 558347111529985, 1688231447886336, 71464067922756097, 216080435216154627, 9146842347001250431, 27656607476219905920
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
G.f.: -(x^2-3*x-1) / (x^4-128*x^2+1). - Colin Barker, Nov 26 2013
|
|
MATHEMATICA
|
Denominator[Convergents[Sqrt[455], 30]] (* Harvey P. Dale, Aug 23 2013 *)
CoefficientList[Series[(1 + 3 x - x^2)/(x^4 - 128 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 26 2013 *)
|
|
PROG
|
(Magma) I:=[1, 3, 127, 384]; [n le 4 select I[n] else 128*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 26 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|