|
|
A042502
|
|
Numerators of continued fraction convergents to sqrt(779).
|
|
2
|
|
|
27, 28, 307, 1563, 3433, 94254, 191941, 1053959, 10731531, 11785490, 647147991, 658933481, 7236482801, 36841347486, 80919177773, 2221659147357, 4524237472487, 24842846509792, 252952702570407, 277795549080199, 15253912352901153, 15531707901981352
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 23570980, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
|
|
FORMULA
|
G.f.: -(x^19 -27*x^18 +28*x^17 -307*x^16 +1563*x^15 -3433*x^14 +94254*x^13 -191941*x^12 +1053959*x^11 -10731531*x^10 -11785490*x^9 -10731531*x^8 -1053959*x^7 -191941*x^6 -94254*x^5 -3433*x^4 -1563*x^3 -307*x^2 -28*x -27) / (x^20 -23570980*x^10 +1). - Colin Barker, Dec 16 2013
|
|
MATHEMATICA
|
Numerator[Convergents[Sqrt[779], 30]] (* Harvey P. Dale, Oct 20 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|