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A041309 Denominators of continued fraction convergents to sqrt(167). 2

%I

%S 1,1,12,13,324,337,4031,4368,108863,113231,1354404,1467635,36577644,

%T 38045279,455075713,493120992,12289979521,12783100513,152904085164,

%U 165687185677,4129396541412,4295083727089,51375317539391,55670401266480,1387464947934911

%N Denominators of continued fraction convergents to sqrt(167).

%H Vincenzo Librandi, <a href="/A041309/b041309.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 336, 0, 0, 0, -1).

%F G.f.: -(x^2-x-1)*(x^4+13*x^2+1) / (x^8-336*x^4+1). - _Colin Barker_, Nov 15 2013

%F a(n) = 336*a(n-4) - a(n-8). - _Vincenzo Librandi_, Dec 15 2013

%t Denominator[Convergents[Sqrt[167], 30]] (* _Vincenzo Librandi_, Dec 15 2013 *)

%t LinearRecurrence[{0,0,0,336,0,0,0,-1},{1,1,12,13,324,337,4031,4368},30] (* _Harvey P. Dale_, Aug 16 2015 *)

%o (MAGMA) I:=[1,1,12,13,324,337,4031,4368]; [n le 8 select I[n] else 336*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 15 2013

%Y Cf. A041308, A010215.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 15 2013

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Last modified April 22 07:02 EDT 2021. Contains 343162 sequences. (Running on oeis4.)