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A042290 Numerators of continued fraction convergents to sqrt(671). 2

%I #14 Mar 18 2017 16:21:11

%S 25,26,259,544,803,1347,2150,5647,52973,58620,2983973,3042593,

%T 30367310,63777213,94144523,157921736,252066259,662054254,6210554545,

%U 6872608799,349840994495,356713603294,3560263424141,7477240451576,11037503875717,18514744327293

%N Numerators of continued fraction convergents to sqrt(671).

%H Vincenzo Librandi, <a href="/A042290/b042290.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, 117240, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -25*x^18 +26*x^17 -259*x^16 +544*x^15 -803*x^14 +1347*x^13 -2150*x^12 +5647*x^11 -52973*x^10 -58620*x^9 -52973*x^8 -5647*x^7 -2150*x^6 -1347*x^5 -803*x^4 -544*x^3 -259*x^2 -26*x -25) / (x^20 -117240*x^10 +1). - _Colin Barker_, Dec 07 2013

%t Numerator[Convergents[Sqrt[671], 30]] (* _Vincenzo Librandi_, Nov 21 2013 *)

%Y Cf. A042291, A040645.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 07 2013

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Last modified April 16 03:28 EDT 2024. Contains 371696 sequences. (Running on oeis4.)