# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a041501 Showing 1-1 of 1 %I A041501 #15 Sep 08 2022 08:44:54 %S A041501 1,2,3,47,50,147,4754,9655,14409,225790,240199,706188,22838215, %T A041501 46382618,69220833,1084695113,1153915946,3392527005,109714780106, %U A041501 222822087217,332536867323,5210875097062,5543411964385,16297699025832,527069780791009,1070437260607850 %N A041501 Denominators of continued fraction convergents to sqrt(267). %H A041501 Vincenzo Librandi, Table of n, a(n) for n = 0..200 %H A041501 Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,4804,0,0,0,0,0,-1). %F A041501 G.f.: -(x^10-2*x^9+3*x^8-47*x^7+50*x^6-147*x^5-50*x^4-47*x^3-3*x^2-2*x-1) / (x^12-4804*x^6+1). - _Colin Barker_, Nov 18 2013 %F A041501 a(n) = 4804*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Dec 19 2013 %t A041501 Denominator[Convergents[Sqrt[267], 30]] (* _Vincenzo Librandi_, Dec 19 2013 *) %o A041501 (Magma) I:=[1,2,3,47,50,147,4754,9655,14409,225790, 240199,706188]; [n le 12 select I[n] else 4804*Self(n-6)-Self(n-12): n in [1..30]]; // _Vincenzo Librandi_, Dec 19 2013 %Y A041501 Cf. A041500, A040250. %K A041501 nonn,frac,easy %O A041501 0,2 %A A041501 _N. J. A. Sloane_. %E A041501 More terms from _Colin Barker_, Nov 18 2013 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE