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A041650 Numerators of continued fraction convergents to sqrt(344). 2

%I #15 Mar 18 2017 12:39:06

%S 18,19,37,167,204,779,983,4711,5694,10405,380274,390679,770953,

%T 3474491,4245444,16210823,20456267,98035891,118492158,216528049,

%U 7913501922,8130029971,16043531893,72304157543,88347689436,337347225851,425694915287,2040126886999

%N Numerators of continued fraction convergents to sqrt(344).

%H Vincenzo Librandi, <a href="/A041650/b041650.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, 20810, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -18*x^18 +19*x^17 -37*x^16 +167*x^15 -204*x^14 +779*x^13 -983*x^12 +4711*x^11 -5694*x^10 -10405*x^9 -5694*x^8 -4711*x^7 -983*x^6 -779*x^5 -204*x^4 -167*x^3 -37*x^2 -19*x -18) / (x^20 -20810*x^10 +1). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[344], 30]] (* _Vincenzo Librandi_, Nov 06 2013 *)

%Y Cf. A041651.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 10 2013

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Last modified April 25 15:00 EDT 2024. Contains 371989 sequences. (Running on oeis4.)