A042479 - OEIS

%I #15 Mar 19 2017 10:51:53

%S 1,1,3,10,13,23,36,59,95,344,783,1127,61641,62768,187177,624299,

%T 811476,1435775,2247251,3683026,5930277,21473857,48877991,70351848,

%U 3847877783,3918229631,11684337045,38971240766,50655577811,89626818577,140282396388,229909214965

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

%H Vincenzo Librandi, <a href="/A042479/b042479.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^22 -x^21 +3*x^20 -10*x^19 +13*x^18 -23*x^17 +36*x^16 -59*x^15 +95*x^14 -344*x^13 +783*x^12 -1127*x^11 -783*x^10 -344*x^9 -95*x^8 -59*x^7 -36*x^6 -23*x^5 -13*x^4 -10*x^3 -3*x^2 -x -1) / (x^24 -62424*x^12 +1). - _Colin Barker_, Dec 15 2013

%t Denominator[Convergents[Sqrt[767], 30]] (* _Vincenzo Librandi_, Jan 23 2014 *)

%Y Cf. A042478, A040739.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 15 2013