A042573 - OEIS

%I #16 Mar 19 2017 12:13:09

%S 1,1,2,9,11,31,166,363,529,2479,3008,5487,310280,315767,626047,

%T 2819955,3446002,9711959,52005797,113723553,165729350,776640953,

%U 942370303,1719011256,97207000639,98926011895,196133012534,883458062031,1079591074565,3042640211161

%N Denominators of continued fraction convergents to sqrt(815).

%H Vincenzo Librandi, <a href="/A042573/b042573.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, 313288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^22 -x^21 +2*x^20 -9*x^19 +11*x^18 -31*x^17 +166*x^16 -363*x^15 +529*x^14 -2479*x^13 +3008*x^12 -5487*x^11 -3008*x^10 -2479*x^9 -529*x^8 -363*x^7 -166*x^6 -31*x^5 -11*x^4 -9*x^3 -2*x^2 -x -1) / (x^24 -313288*x^12 +1). - _Colin Barker_, Dec 18 2013

%t Denominator[Convergents[Sqrt[815], 30]] (* _Vincenzo Librandi_, Jan 25 2014 *)

%Y Cf. A042572, A040786.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 18 2013