A041162 Numerators of continued fraction convergents to sqrt(91).

9, 10, 19, 105, 124, 725, 849, 1574, 29181, 30755, 59936, 330435, 390371, 2282290, 2672661, 4954951, 91861779, 96816730, 188678509, 1040209275, 1228887784, 7184648195, 8413535979, 15598184174, 289180851111, 304779035285, 593959886396, 3274578467265

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,3148,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -9*x^14 +10*x^13 -19*x^12 +105*x^11 -124*x^10 +725*x^9 -849*x^8 -1574*x^7 -849*x^6 -725*x^5 -124*x^4 -105*x^3 -19*x^2 -10*x -9) / (x^16 -3148*x^8 +1). - Colin Barker, Nov 05 2013

Mathematica

Numerator[Convergents[Sqrt[91], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

Crossrefs

Cf. A010542, A041163.

Sequence in context: A042095 A041164 A182396 * A041691 A300023 A022314

Adjacent sequences: A041159 A041160 A041161 * A041163 A041164 A041165

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 05 2013

Status

approved