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A042767 Denominators of continued fraction convergents to sqrt(914). 2

%I #19 Mar 19 2017 12:42:26

%S 1,4,13,43,185,11143,44757,145414,480999,2069410,124645599,500651806,

%T 1626601017,5380454857,23148420445,1394285681557,5600291146673,

%U 18195159121576,60185768511401,258938233167180,15596479758542201,62644857267335984

%N Denominators of continued fraction convergents to sqrt(914).

%H Vincenzo Librandi, <a href="/A042767/b042767.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 11186, 0, 0, 0, 0, 1).

%F G.f.: -(x^8 -4*x^7 +13*x^6 -43*x^5 +185*x^4 +43*x^3 +13*x^2 +4*x +1) / (x^10 +11186*x^5 -1). - _Colin Barker_, Dec 23 2013

%t Denominator[Convergents[Sqrt[914], 30]] (* _Vincenzo Librandi_, Jan 28 2014 *)

%t LinearRecurrence[{0,0,0,0,11186,0,0,0,0,1},{1,4,13,43,185,11143,44757,145414,480999,2069410},30] (* _Harvey P. Dale_, Apr 08 2016 *)

%Y Cf. A042766, A040883.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 23 2013

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)