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!)
A041350 Numerators of continued fraction convergents to sqrt(189). 2
13, 14, 41, 55, 1471, 1526, 4523, 6049, 161797, 167846, 497489, 665335, 17796199, 18461534, 54719267, 73180801, 1957420093, 2030600894, 6018621881, 8049222775, 215298414031, 223347636806, 661993687643, 885341324449, 23680868123317, 24566209447766 (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 (0,0,0,110,0,0,0,-1).

FORMULA

G.f.: -(x^7-13*x^6+14*x^5-41*x^4-55*x^3-41*x^2-14*x-13) / (x^8-110*x^4+1). - Colin Barker, Nov 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[189], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041351.

Sequence in context: A308122 A292116 A071870 * A041348 A041346 A329650

Adjacent sequences:  A041347 A041348 A041349 * A041351 A041352 A041353

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 07 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 February 29 07:39 EST 2020. Contains 332355 sequences. (Running on oeis4.)