cp's OEIS Frontend

A158677 Period 6: repeat [3, 4, 0, 5, 6, 3].

%I A158677 #17 Dec 12 2023 08:09:14
%S A158677 3,4,0,5,6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,0,5,
%T A158677 6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,
%U A158677 0,5,6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,0,5,6,3,3,4,0
%N A158677 Period 6: repeat [3, 4, 0, 5, 6, 3].
%C A158677 Also the decimal expansion of 1135210/333333 or the continued fraction of (81+sqrt(9867))/58.
%H A158677 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,1).
%F A158677 G.f.: x*(3+4*x+5*x^3+6*x^4+3*x^5) / ((1-x)*(1+x)*(1+x+x^2)*(x^2-x+1)).
%F A158677 a(n) = a(n-6) for n>6.
%F A158677 a(n) = cos(n*Pi/6)^2 * (39 - 36*cos(n*Pi/3) + 6*cos(2*n*Pi/3) - 4*sqrt(3)*sin(n*Pi/3))/3. - _Wesley Ivan Hurt_, Jun 23 2016
%p A158677 A158677:=n->[3, 4, 0, 5, 6, 3][(n mod 6)+1]: seq(A158677(n), n=0..100); # _Wesley Ivan Hurt_, Jun 23 2016
%t A158677 PadRight[{}, 120, {3,4,0,5,6,3}] (* _Harvey P. Dale_, Aug 06 2013 *)
%o A158677 (Magma) &cat [[3, 4, 0, 5, 6, 3]^^20]; // _Wesley Ivan Hurt_, Jun 23 2016
%Y A158677 Cf. A158674.
%K A158677 nonn,easy
%O A158677 1,1
%A A158677 _Paul Curtz_, Mar 24 2009
%E A158677 Edited and extended by _R. J. Mathar_, Sep 07 2009