This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A010717 #45 Dec 14 2023 06:05:25 %S A010717 5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6, %T A010717 5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6,5,6, %U A010717 5,6,5,6,5,6,5,6,5,6,5,6,5 %N A010717 Period 2: repeat (5,6). %C A010717 This is the continued fraction expansion of the constant A176320 = 5/2 + sqrt(255)/6. - _R. J. Mathar_, Nov 21 2011 %H A010717 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1). %F A010717 From _Vincenzo Librandi_, Aug 01 2010: (Start) %F A010717 a(n) = a(n-2) for n>1; a(0)=5, a(1)=6. %F A010717 G.f.: (5+6*x)/((1-x)*(1+x)). (End) %F A010717 a(n) = floor(11*(n+1)/2) - floor(11*n/2). - _James Van Alstine_, Jul 17 2014 %p A010717 A010717:= n -> 5 + (n mod 2): %p A010717 seq(A010717(n),n=0..10); # _Robert Israel_, Jul 17 2014 %t A010717 Table[5 + Mod[n, 2], {n, 0, 50}] (* _Jinyuan Wang_, Feb 26 2020 *) %o A010717 (PARI) contfrac(5/2+sqrt(precision(255.,150))/6) \\ Note: Depending on the chosen precision, the last term may be off by +/- 1, so it would be safer to discard it, e.g., using vecextract(...,"^-1"). - _M. F. Hasler_, Sep 25 2013 %o A010717 (PARI) a(n)=n%2+5 \\ _Charles R Greathouse IV_, Jul 13 2016 %K A010717 nonn,easy %O A010717 0,1 %A A010717 _N. J. A. Sloane_