login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042894 Numerators of continued fraction convergents to sqrt(979). 2

%I #17 Jun 26 2022 23:51:45

%S 31,94,219,1189,1408,6821,8229,47966,104161,360449,22451999,67716446,

%T 157884891,857140901,1015025792,4917244069,5932269861,34578593374,

%U 75089456609,259846963201,16185601175071,48816650488414,113818902151899,617911161247909

%N Numerators of continued fraction convergents to sqrt(979).

%H Vincenzo Librandi, <a href="/A042894/b042894.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 720898, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 - 31*x^18 + 94*x^17 - 219*x^16 + 1189*x^15 - 1408*x^14 + 6821*x^13 - 8229*x^12 + 47966*x^11 - 104161*x^10 - 360449*x^9 - 104161*x^8 - 47966*x^7 - 8229*x^6 - 6821*x^5 - 1408*x^4 - 1189*x^3 - 219*x^2 - 94*x - 31) / (x^20 - 720898*x^10 + 1). - _Colin Barker_, Dec 25 2013

%t Numerator[Convergents[Sqrt[979], 30]] (* _Vincenzo Librandi_, Dec 08 2013 *)

%Y Cf. A042895, A040947.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 25 2013

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)