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A041322 Numerators of continued fraction convergents to sqrt(175). 2

%I #19 Jun 13 2015 00:49:23

%S 13,53,119,172,463,2024,53087,214372,481831,696203,1874237,8193151,

%T 214896163,867777803,1950451769,2818229572,7586910913,33165873224,

%U 869899614737,3512764332172,7895428279081,11408192611253,30711813501587,134255446617601,3521353425559213

%N Numerators of continued fraction convergents to sqrt(175).

%H Vincenzo Librandi, <a href="/A041322/b041322.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 (0,0,0,0,0,4048,0,0,0,0,0,-1).

%F G.f.: -(x^11 -13*x^10 +53*x^9 -119*x^8 +172*x^7 -463*x^6 -2024*x^5 -463*x^4 -172*x^3 -119*x^2 -53*x -13) / ((x^4 -16*x^2 +1)*(x^8 +16*x^6 +255*x^4 +16*x^2 +1)). - _Colin Barker_, Nov 06 2013

%t Numerator/@Convergents[Sqrt[175], 30] (* _Harvey P. Dale_, Jun 25 2011 *)

%Y Cf. A041323.

%K nonn,cofr,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 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)