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A041278 Numerators of continued fraction convergents to sqrt(152). 2

%I #18 Jun 13 2015 00:49:23

%S 12,37,900,2737,66588,202501,4926612,14982337,364502700,1108490437,

%T 26968273188,82013310001,1995287713212,6067876449637,147624322504500,

%U 448940843963137,10922204577619788,33215554576822501,808095514421359812,2457502097840901937

%N Numerators of continued fraction convergents to sqrt(152).

%H Vincenzo Librandi, <a href="/A041278/b041278.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,74,0,-1).

%F a(0)=12, a(1)=37, a(2)=900, a(3)=2737; for n>3, a(n)=74*a(n-2)-a(n-4). [_Harvey P. Dale_, May 19 2011]

%t Numerator/@Convergents[Sqrt[152],30] (* or *) LinearRecurrence[ {0,74,0,-1}, {12,37,900,2737},30] (* _Harvey P. Dale_, May 19 2011 *)

%Y Cf. A041279.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 06 2013

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)