cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A042858 Numerators of continued fraction convergents to sqrt(960).

This page as a plain text file.
%I A042858 #19 Jun 19 2023 06:40:35
%S A042858 30,31,1890,1921,117150,119071,7261410,7380481,450090270,457470751,
%T A042858 27898335330,28355806081,1729246700190,1757602506271,107185397076450,
%U A042858 108942999582721,6643765372039710,6752708371622431,411806267669385570,418558976041008001,25525344830129865630
%N A042858 Numerators of continued fraction convergents to sqrt(960).
%H A042858 Vincenzo Librandi, <a href="/A042858/b042858.txt">Table of n, a(n) for n = 0..200</a>
%H A042858 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,62,0,-1).
%F A042858 G.f.: (30 + 31*x + 30*x^2 - x^3)/(1 - 62*x^2 + x^4). - _Vincenzo Librandi_, Dec 08 2013
%F A042858 a(n) = 62*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 08 2013
%t A042858 Numerator[Convergents[Sqrt[960], 30]] (* _Vincenzo Librandi_, Dec 07 2013 *)
%t A042858 CoefficientList[Series[(30 + 31 x + 30 x^2 - x^3)/(1 - 62 x^2 + x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 08 2013 *)
%o A042858 (Magma) I:=[ 30, 31, 1890, 1921]; [n le 4 select I[n] else 62*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Dec 08 2013
%Y A042858 Cf. A042859.
%K A042858 nonn,cofr,frac,easy
%O A042858 0,1
%A A042858 _N. J. A. Sloane_
%E A042858 More terms from _Vincenzo Librandi_, Dec 08 2013