%I #15 Mar 18 2017 16:25:13
%S 26,53,132,185,317,502,819,2140,5099,267288,539675,1346638,1886313,
%T 3232951,5119264,8352215,21823694,51999603,2725803050,5503605703,
%U 13733014456,19236620159,32969634615,52206254774,85175889389,222558033552,530291956493,27797739771188
%N Numerators of continued fraction convergents to sqrt(698).
%H Vincenzo Librandi, <a href="/A042342/b042342.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_18">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 10198, 0, 0, 0, 0, 0, 0, 0, 0, 1).
%F G.f.: -(x^17 -26*x^16 +53*x^15 -132*x^14 +185*x^13 -317*x^12 +502*x^11 -819*x^10 +2140*x^9 +5099*x^8 +2140*x^7 +819*x^6 +502*x^5 +317*x^4 +185*x^3 +132*x^2 +53*x +26) / (x^18 +10198*x^9 -1). - _Colin Barker_, Dec 09 2013
%t Numerator[Convergents[Sqrt[698], 30]] (* _Vincenzo Librandi_, Nov 21 2013 *)
%Y Cf. A042343, A040671.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 09 2013
|