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A041304 Numerators of continued fraction convergents to sqrt(165). 2

%I #15 Jun 13 2015 00:49:23

%S 12,13,77,167,912,1079,26808,27887,166243,360373,1968108,2328481,

%T 57851652,60180133,358752317,777684767,4247176152,5024860919,

%U 124843838208,129868699127,774187333843,1678243366813,9165404167908,10843647534721,269412945001212

%N Numerators of continued fraction convergents to sqrt(165).

%H Vincenzo Librandi, <a href="/A041304/b041304.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,2158,0,0,0,0,0,-1).

%F G.f.: -(x^11 -12*x^10 +13*x^9 -77*x^8 +167*x^7 -912*x^6 -1079*x^5 -912*x^4 -167*x^3 -77*x^2 -13*x -12) / ((x^4 -13*x^2 +1)*(x^8 +13*x^6 +168*x^4 +13*x^2 +1)). - _Colin Barker_, Nov 06 2013

%t Numerator[Convergents[Sqrt[165],30]] (* _Harvey P. Dale_, Dec 25 2012 *)

%Y Cf. A041305.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 06 2013

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)