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A041445 Denominators of continued fraction convergents to sqrt(238). 2

%I

%S 1,2,5,7,103,110,323,756,23003,46762,116527,163289,2402573,2565862,

%T 7534297,17634456,536567977,1090770410,2718108797,3808879207,

%U 56042417695,59851296902,175745011499,411341319900,12515984608499,25443310536898,63402605682295

%N Denominators of continued fraction convergents to sqrt(238).

%H Vincenzo Librandi, <a href="/A041445/b041445.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 (0,0,0,0,0,0,0,23326,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^14 -2*x^13 +5*x^12 -7*x^11 +103*x^10 -110*x^9 +323*x^8 -756*x^7 -323*x^6 -110*x^5 -103*x^4 -7*x^3 -5*x^2 -2*x -1) / (x^16 -23326*x^8 +1). - _Colin Barker_, Nov 17 2013

%F a(n) = 23326*a(n-8) - a(n-16) for n>15. - _Vincenzo Librandi_, Dec 18 2013

%t Denominator[Convergents[Sqrt[238], 30]] (* _Vincenzo Librandi_, Dec 18 2013 *)

%o (MAGMA) I:=[1,2,5,7,103,110,323,756,23003,46762,116527, 163289,2402573,2565862,7534297,17634456]; [n le 16 select I[n] else 23326*Self(n-8)-Self(n-16): n in [1..30]]; // _Vincenzo Librandi_, Dec 18 2013

%Y Cf. A041444, A040222.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 17 2013

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Last modified September 26 19:57 EDT 2021. Contains 347672 sequences. (Running on oeis4.)