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A042021 Denominators of continued fraction convergents to sqrt(534). 2

%I #14 Jun 13 2015 00:49:38

%S 1,9,37,46,83,1872,1955,3827,17263,159194,7340187,66220877,272223695,

%T 338444572,610668267,13773146446,14383814713,28156961159,127011659349,

%U 1171261895300,54005058843149,487216791483641,2002872224777713,2490089016261354,4492961241039067

%N Denominators of continued fraction convergents to sqrt(534).

%H Vincenzo Librandi, <a href="/A042021/b042021.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 (0,0,0,0,0,0,0,0,0,7357450,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^18 -9*x^17 +37*x^16 -46*x^15 +83*x^14 -1872*x^13 +1955*x^12 -3827*x^11 +17263*x^10 -159194*x^9 -17263*x^8 -3827*x^7 -1955*x^6 -1872*x^5 -83*x^4 -46*x^3 -37*x^2 -9*x -1) / (x^20 -7357450*x^10 +1). - _Colin Barker_, Nov 29 2013

%t Denominator[Convergents[Sqrt[534], 30]] (* _Vincenzo Librandi_, Jan 12 2014 *)

%Y Cf. A042020, A040510.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 29 2013

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Last modified April 26 21:39 EDT 2024. Contains 372004 sequences. (Running on oeis4.)