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A042478 Numerators of continued fraction convergents to sqrt(767). 2

%I #17 Mar 18 2017 16:42:02

%S 27,28,83,277,360,637,997,1634,2631,9527,21685,31212,1707133,1738345,

%T 5183823,17289814,22473637,39763451,62237088,102000539,164237627,

%U 594713420,1353664467,1948377887,106566070365,108514448252,323594966869,1079299348859,1402894315728

%N Numerators of continued fraction convergents to sqrt(767).

%H Vincenzo Librandi, <a href="/A042478/b042478.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^23 -27*x^22 +28*x^21 -83*x^20 +277*x^19 -360*x^18 +637*x^17 -997*x^16 +1634*x^15 -2631*x^14 +9527*x^13 -21685*x^12 -31212*x^11 -21685*x^10 -9527*x^9 -2631*x^8 -1634*x^7 -997*x^6 -637*x^5 -360*x^4 -277*x^3 -83*x^2 -28*x -27) / (x^24 -62424*x^12 +1). - _Colin Barker_, Dec 15 2013

%t Numerator[Convergents[Sqrt[767], 30]] (* _Vincenzo Librandi_, Nov 25 2013 *)

%Y Cf. A042479, A040739.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 15 2013

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Last modified September 16 09:24 EDT 2024. Contains 375965 sequences. (Running on oeis4.)