login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Denominators of continued fraction convergents to sqrt(512).
2

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

%S 1,1,2,3,8,51,569,3465,7499,10964,18463,29427,1313251,1342678,2655929,

%T 3998607,10653143,67917465,757745258,4614389013,9986523284,

%U 14600912297,24587435581,39188347878,1748874742213,1788063090091,3536937832304,5325000922395

%N Denominators of continued fraction convergents to sqrt(512).

%H Vincenzo Librandi, <a href="/A041979/b041979.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 (0,0,0,0,0,0,0,0,0,0,0,1331714,0,0,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^22 -x^21 +2*x^20 -3*x^19 +8*x^18 -51*x^17 +569*x^16 -3465*x^15 +7499*x^14 -10964*x^13 +18463*x^12 -29427*x^11 -18463*x^10 -10964*x^9 -7499*x^8 -3465*x^7 -569*x^6 -51*x^5 -8*x^4 -3*x^3 -2*x^2 -x -1) / ((x^6 -34*x^3 +1)*(x^6 +34*x^3 +1)*(x^12 +1154*x^6 +1)). - _Colin Barker_, Nov 28 2013

%t Denominator[Convergents[Sqrt[512], 30]] (* _Vincenzo Librandi_, Jan 11 2014 *)

%Y Cf. A041978, A040489.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 28 2013