login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041162 Numerators of continued fraction convergents to sqrt(91). 2
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 (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 (0,0,0,0,0,0,0,3148,0,0,0,0,0,0,0,-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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 24 07:18 EST 2020. Contains 331189 sequences. (Running on oeis4.)