|
%I #17 Mar 18 2017 12:41:36
%S 18,19,94,207,508,9351,19210,47771,210294,258065,9500634,9758699,
%T 48535430,106829559,262194548,4826331423,9914857394,24656046211,
%U 108539042238,133195088449,4903562226402,5036757314851,25050591485806,55137940286463,135326472058732
%N Numerators of continued fraction convergents to sqrt(354).
%H Vincenzo Librandi, <a href="/A041670/b041670.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 516130, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
%F a(n) = 516130*a(n-10) - a(n-20) for n>19. [_Bruno Berselli_, Nov 06 2013]
%F G.f.: -(x^19 -18*x^18 +19*x^17 -94*x^16 +207*x^15 -508*x^14 +9351*x^13 -19210*x^12 +47771*x^11 -210294*x^10 -258065*x^9 -210294*x^8 -47771*x^7 -19210*x^6 -9351*x^5 -508*x^4 -207*x^3 -94*x^2 -19*x -18) / (x^20 -516130*x^10 +1). - _Colin Barker_, Nov 21 2013
%t Numerator[Convergents[Sqrt[354], 30]] (* _Vincenzo Librandi_, Nov 06 2013 *)
%Y Cf. A041671, A040335.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 21 2013
|
