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A041524 Numerators of continued fraction convergents to sqrt(279). 2

%I #18 Mar 18 2017 12:32:57

%S 16,17,50,117,167,451,1069,1520,49709,51229,152167,355563,507730,

%T 1371023,3249776,4620799,151115344,155736143,462587630,1080911403,

%U 1543499033,4167909469,9879317971,14047227440,459390596051,473437823491,1406266243033,3285970309557

%N Numerators of continued fraction convergents to sqrt(279).

%H Vincenzo Librandi, <a href="/A041524/b041524.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, 3040, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^15 -16*x^14 +17*x^13 -50*x^12 +117*x^11 -167*x^10 +451*x^9 -1069*x^8 -1520*x^7 -1069*x^6 -451*x^5 -167*x^4 -117*x^3 -50*x^2 -17*x -16) / (x^16 -3040*x^8 +1). - _Colin Barker_, Nov 08 2013

%t Numerator[Convergents[Sqrt[279], 30]] (* _Harvey P. Dale_, Apr 11 2012 *)

%Y Cf. A041525.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 08 2013

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Last modified April 16 18:22 EDT 2024. Contains 371750 sequences. (Running on oeis4.)