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A041706 Numerators of continued fraction convergents to sqrt(373). 2

%I #18 Jan 03 2022 15:05:26

%S 19,58,309,1603,5118,196087,593379,3162982,16408289,52387849,

%T 2007146551,6073827502,32376284061,167955247807,536242027482,

%U 20545152292123,62171698903851,331403646811378,1719189932960741,5488973445693601,210300180869317579,636389516053646338

%N Numerators of continued fraction convergents to sqrt(373).

%H Vincenzo Librandi, <a href="/A041706/b041706.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 10236, 0, 0, 0, 0, 1).

%F G.f.: -(x^9 -19*x^8 +58*x^7 -309*x^6 +1603*x^5 +5118*x^4 +1603*x^3 +309*x^2 +58*x +19) / (x^10 +10236*x^5 -1). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[373], 30]] (* _Vincenzo Librandi_, Nov 07 2013 *)

%t LinearRecurrence[{0,0,0,0,10236,0,0,0,0,1},{19,58,309,1603,5118,196087,593379,3162982,16408289,52387849},30] (* _Harvey P. Dale_, Jan 03 2022 *)

%Y Cf. A041707.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms in Data from _Colin Barker_, Nov 10 2013

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Last modified April 19 17:51 EDT 2024. Contains 371797 sequences. (Running on oeis4.)