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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A042744 Numerators of continued fraction convergents to sqrt(903). 2

%I

%S 30,601,36090,722401,43380150,868325401,52142904210,1043726409601,

%T 62675727480270,1254558276015001,75336172288380330,

%U 1507978004043621601,90554016414905676390,1812588306302157149401,108845852394544334640450

%N Numerators of continued fraction convergents to sqrt(903).

%H Vincenzo Librandi, <a href="/A042744/b042744.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 (0,1202,0,-1).

%F G.f.: (30 +601*x +30*x^2 -x^3)/(1 -1202*x^2 +x^4). - _Vincenzo Librandi_, Dec 03 2013

%F a(n) = 1202*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 03 2013

%t Numerator[Convergents[Sqrt[903], 30]] (* or *) CoefficientList[Series[(30 + 601 x + 30 x^2 - x^3)/(1 - 1202 x^2 + x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 03 2013 *)

%o (MAGMA) I:=[30, 601, 36090, 722401]; [n le 4 select I[n] else 1202*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Dec 03 2013

%Y Cf. A042745.

%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.

Last modified December 7 04:21 EST 2021. Contains 349567 sequences. (Running on oeis4.)