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!)
A042202 Numerators of continued fraction convergents to sqrt(627). 2

%I

%S 25,626,31325,783751,39218875,981255626,49102000175,1228531260001,

%T 61475665000225,1538120156265626,76967483478281525,

%U 1925725207113303751,96363227839143469075,2411006421185700030626,120646684287124145000375

%N Numerators of continued fraction convergents to sqrt(627).

%H Vincenzo Librandi, <a href="/A042202/b042202.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,1252,0,-1).

%F G.f.: (25 +626*x +25*x^2 -x^3)/(1 -1252*x^2 +x^4). - _Vincenzo Librandi_, Nov 19 2013

%F a/n) = 1252*a(n-2) - a(n-4). - _Vincenzo Librandi_, Nov 19 2013

%t Numerator[Convergents[Sqrt[627], 20]] (* _Harvey P. Dale_, Oct 20 2012 *)

%t CoefficientList[Series[(25 + 626 x + 25 x^2 - x^3)/(x^4 - 1252 x^2 + 1), {x, 0, 20}], x] (* _Vincenzo Librandi_, Nov 19 2013 *)

%o (MAGMA) I:=[25,626,31325,783751]; [n le 4 select I[n] else 1252*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Nov 19 2013

%Y Cf. A042203.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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 April 10 08:09 EDT 2021. Contains 342845 sequences. (Running on oeis4.)