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A041164 Numerators of continued fraction convergents to sqrt(92). 2
9, 10, 19, 48, 211, 470, 681, 1151, 21399, 22550, 43949, 110448, 485741, 1081930, 1567671, 2649601, 49260489, 51910090, 101170579, 254251248, 1118175571, 2490602390, 3608777961, 6099380351, 113397624279, 119497004630, 232894628909, 585286262448 (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 (0,0,0,0,0,0,0,2302,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -9*x^14 +10*x^13 -19*x^12 +48*x^11 -211*x^10 +470*x^9 -681*x^8 -1151*x^7 -681*x^6 -470*x^5 -211*x^4 -48*x^3 -19*x^2 -10*x -9) / ((x^8 -48*x^4 +1)*(x^8 +48*x^4 +1)). - Colin Barker, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[92], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

CROSSREFS

Cf. A010543, A041165.

Sequence in context: A042613 A020694 A042095 * A182396 A041162 A041691

Adjacent sequences:  A041161 A041162 A041163 * A041165 A041166 A041167

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 05 2013

STATUS

approved

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Last modified December 10 15:09 EST 2019. Contains 329896 sequences. (Running on oeis4.)