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A041166 Numerators of continued fraction convergents to sqrt(93). 2
9, 10, 19, 29, 135, 839, 3491, 4330, 7821, 12151, 226539, 238690, 465229, 703919, 3280905, 20389349, 84838301, 105227650, 190065951, 295293601, 5505350769, 5800644370, 11305995139, 17106639509, 79732553175, 495501958559, 2061740387411, 2557242345970 (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 (0,0,0,0,0,0,0,0,0,24302,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -9*x^18 +10*x^17 -19*x^16 +29*x^15 -135*x^14 +839*x^13 -3491*x^12 +4330*x^11 -7821*x^10 -12151*x^9 -7821*x^8 -4330*x^7 -3491*x^6 -839*x^5 -135*x^4 -29*x^3 -19*x^2 -10*x -9) / (x^20 -24302*x^10 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[93], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

CROSSREFS

Cf. A010544, A041167.

Sequence in context: A050551 A022099 A042113 * A042613 A020694 A042095

Adjacent sequences:  A041163 A041164 A041165 * A041167 A041168 A041169

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 2013

STATUS

approved

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Last modified November 18 14:55 EST 2019. Contains 329262 sequences. (Running on oeis4.)