|
|
A041199
|
|
Denominators of continued fraction convergents to sqrt(110).
|
|
2
|
|
|
1, 2, 41, 84, 1721, 3526, 72241, 148008, 3032401, 6212810, 127288601, 260790012, 5343088841, 10946967694, 224282442721, 459511853136, 9414519505441, 19288550864018, 395185536785801, 809659624435620, 16588378025498201, 33986415675432022
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
G.f.: -(x^2-2*x-1) / (x^4-42*x^2+1). - Colin Barker, Nov 14 2013
|
|
MATHEMATICA
|
Denominator[Convergents[Sqrt[110], 30]] (* Harvey P. Dale, Oct 10 2012 *)
CoefficientList[Series[(1 + 2 x - x^2)/(1 - 42 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 12 2013*)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|