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A041772 Numerators of continued fraction convergents to sqrt(407). 2

%I

%S 20,101,121,343,464,2663,106984,537583,644567,1826717,2471284,

%T 14183137,569796764,2863166957,3432963721,9729094399,13162058120,

%U 75539384999,3034737458080,15249226675399,18283964133479,51817154942357,70101119075836,402322750321537

%N Numerators of continued fraction convergents to sqrt(407).

%H Vincenzo Librandi, <a href="/A041772/b041772.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 5326, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^11 -20*x^10 +101*x^9 -121*x^8 +343*x^7 -464*x^6 -2663*x^5 -464*x^4 -343*x^3 -121*x^2 -101*x -20) / (x^12 -5326*x^6 +1). - _Colin Barker_, Nov 24 2013

%t Numerator[Convergents[Sqrt[407], 30]] (* _Vincenzo Librandi_, Nov 08 2013 *)

%Y Cf. A041773, A040386.

%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 January 19 16:16 EST 2021. Contains 340270 sequences. (Running on oeis4.)