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Denominators of continued fraction convergents to sqrt(313).
3

%I #13 Mar 19 2017 08:54:07

%S 1,1,3,13,146,159,305,1074,2453,5980,20393,26373,46766,540799,2209962,

%T 4960723,7170685,248764013,255934698,760633409,3298468334,37043785083,

%U 40342253417,77386038500,272500368917,622386776334,1517273921585,5174208541089,6691482462674

%N Denominators of continued fraction convergents to sqrt(313).

%H Vincenzo Librandi, <a href="/A041591/b041591.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 253724736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n) = 253724736*a(n-17) + a(n-34) for n>33. [_Bruno Berselli_, Dec 22 2013]

%t Denominator/@Convergents[Sqrt[313], 30] (* _Harvey P. Dale_, Apr 23 2011 *)

%Y Cf. A041590.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Dec 21 2013