A041164 Numerators of continued fraction convergents to sqrt(92).

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

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