A041998 Numerators of continued fraction convergents to sqrt(522).

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

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,39206,0,0,0,0,0,0,0,0,0,-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

Cf. A041999, A040499.

Sequence in context: A041990 A041996 A041994 * A042000 A042002 A119603

Adjacent sequences: A041995 A041996 A041997 * A041999 A042000 A042001

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved