A041934 Numerators of continued fraction convergents to sqrt(490).

22, 155, 332, 487, 2280, 9607, 40708, 50315, 141338, 1039681, 45887302, 322250795, 690388892, 1012639687, 4740947640, 19976430247, 84646668628, 104623098875, 293892866378, 2161873163521, 95416312061302, 670076057592635, 1435568427246572, 2105644484839207

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,2079362,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -22*x^18 +155*x^17 -332*x^16 +487*x^15 -2280*x^14 +9607*x^13 -40708*x^12 +50315*x^11 -141338*x^10 -1039681*x^9 -141338*x^8 -50315*x^7 -40708*x^6 -9607*x^5 -2280*x^4 -487*x^3 -332*x^2 -155*x -22) / ((x^10 -1442*x^5 +1)*(x^10 +1442*x^5 +1)). - Colin Barker, Nov 27 2013

Mathematica

Numerator/@Convergents[Sqrt[490], 30] (* Harvey P. Dale, May 05 2011 *)

Crossrefs

Cf. A041935, A040467.

Sequence in context: A245380 A271635 A130438 * A027943 A224257 A244868

Adjacent sequences: A041931 A041932 A041933 * A041935 A041936 A041937

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 27 2013

Status

approved