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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 23 14:17 EDT 2019. Contains 321431 sequences. (Running on oeis4.)