A042676 - OEIS

%I #17 Mar 18 2017 17:46:13

%S 29,59,383,7336,15055,293381,1775341,3844063,224730995,453306053,

%T 2944567313,56400085000,115744737313,2255550093947,13649045300995,

%U 29553640695937,1727760205665341,3485074052026619,22638204517825055,433610959890702664,889860124299230383

%N Numerators of continued fraction convergents to sqrt(868).

%H Vincenzo Librandi, <a href="/A042676/b042676.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 7688126, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^15 -29*x^14 +59*x^13 -383*x^12 +7336*x^11 -15055*x^10 +293381*x^9 -1775341*x^8 -3844063*x^7 -1775341*x^6 -293381*x^5 -15055*x^4 -7336*x^3 -383*x^2 -59*x -29) / (x^16 -7688126*x^8 +1). - _Colin Barker_, Dec 20 2013

%t Numerator[Convergents[Sqrt[868], 30]] (* _Harvey P. Dale_, Nov 08 2011 *)

%Y Cf. A042677, A040838.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 20 2013