login
A041998
Numerators of continued fraction convergents to sqrt(522).
2
22, 23, 137, 160, 297, 1348, 1645, 2993, 16610, 19603, 879142, 898745, 5372867, 6271612, 11644479, 52849528, 64494007, 117343535, 651211682, 768555217, 34467641230, 35236196447, 210648623465, 245884819912, 456533443377, 2072018593420, 2528552036797, 4600570630217
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,39206,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^19 -22*x^18 +23*x^17 -137*x^16 +160*x^15 -297*x^14 +1348*x^13 -1645*x^12 +2993*x^11 -16610*x^10 -19603*x^9 -16610*x^8 -2993*x^7 -1645*x^6 -1348*x^5 -297*x^4 -160*x^3 -137*x^2 -23*x -22) / ((x^10 -198*x^5 -1)*(x^10 +198*x^5 -1)). - Colin Barker, Nov 28 2013
MATHEMATICA
Numerator[Convergents[Sqrt[522], 201]] (* Vincenzo Librandi, Nov 13 2013 *)
CROSSREFS
Sequence in context: A041990 A041996 A041994 * A042000 A042002 A119603
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 28 2013
STATUS
approved