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A041786 Numerators of continued fraction convergents to sqrt(414). 2

%I #18 Mar 18 2017 12:57:26

%S 20,41,61,468,997,7447,8444,24335,981844,1988023,2969867,22777092,

%T 48524051,362445449,410969500,1184384449,47786347460,96757079369,

%U 144543426829,1108561067172,2361665561173,17640219995383,20001885556556,57643991108495,2325761529896356

%N Numerators of continued fraction convergents to sqrt(414).

%H Vincenzo Librandi, <a href="/A041786/b041786.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 48670, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^15 -20*x^14 +41*x^13 -61*x^12 +468*x^11 -997*x^10 +7447*x^9 -8444*x^8 -24335*x^7 -8444*x^6 -7447*x^5 -997*x^4 -468*x^3 -61*x^2 -41*x -20) / (x^16 -48670*x^8 +1). - _Colin Barker_, Nov 24 2013

%t Numerator[Convergents[Sqrt[414], 30]] (* _Harvey P. Dale_, Sep 17 2011 *)

%Y Cf. A041787, A040393.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 24 2013

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Last modified May 10 13:53 EDT 2024. Contains 372387 sequences. (Running on oeis4.)