A041452 - OEIS

%I #13 Jun 13 2015 00:49:24

%S 15,16,31,109,140,2069,2209,8696,10905,19601,598935,618536,1217471,

%T 4270949,5488420,81108829,86597249,340900576,427497825,768398401,

%U 23479449855,24247848256,47727298111,167429742589,215157040700,3179628312389,3394785353089

%N Numerators of continued fraction convergents to sqrt(242).

%H Vincenzo Librandi, <a href="/A041452/b041452.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 (0,0,0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -15*x^18 +16*x^17 -31*x^16 +109*x^15 -140*x^14 +2069*x^13 -2209*x^12 +8696*x^11 -10905*x^10 -19601*x^9 -10905*x^8 -8696*x^7 -2209*x^6 -2069*x^5 -140*x^4 -109*x^3 -31*x^2 -16*x -15) / ((x^10 -198*x^5 +1)*(x^10 +198*x^5 +1)). - _Colin Barker_, Nov 17 2013

%t Numerator[Convergents[Sqrt[242], 30]] (* _Vincenzo Librandi_, Nov 02 2013 *)

%Y Cf. A041453, A040226.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 17 2013