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A041472 Numerators of continued fraction convergents to sqrt(252). 2

%I #14 Sep 20 2019 11:36:51

%S 15,16,111,127,3921,4048,28209,32257,995919,1028176,7164975,8193151,

%T 252959505,261152656,1819875441,2081028097,64250718351,66331746448,

%U 462241197039,528572943487,16319429501649,16848002445136,117407444172465,134255446617601

%N Numerators of continued fraction convergents to sqrt(252).

%H Vincenzo Librandi, <a href="/A041472/b041472.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 (0,0,0,254,0,0,0,-1).

%F G.f.: -(x^7-15*x^6+16*x^5-111*x^4-127*x^3-111*x^2-16*x-15) / ((x^4-16*x^2+1)*(x^4+16*x^2+1)). - _Colin Barker_, Nov 07 2013

%t Numerator[Convergents[Sqrt[252], 30]] (* _Vincenzo Librandi_, Nov 03 2013 *)

%t LinearRecurrence[{0,0,0,254,0,0,0,-1},{15,16,111,127,3921,4048,28209,32257},30] (* _Harvey P. Dale_, Sep 20 2019 *)

%Y Cf. A041473.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 07 2013

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Last modified May 1 19:41 EDT 2024. Contains 372176 sequences. (Running on oeis4.)