%I #14 Sep 08 2022 08:44:57
%S 3,4,6,11,12,14,19,20,22,27,28,30,35,36,38,43,44,46,51,52,54,59,60,62,
%T 67,68,70,75,76,78,83,84,86,91,92,94,99,100,102,107,108,110,115,116,
%U 118,123,124,126,131,132,134,139,140,142,147,148,150,155,156,158
%N Numbers that are congruent to {3, 4, 6} mod 8.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,-1).
%F G.f.: x*(3+x+2*x^2+2*x^3)/((1+x+x^2)*(x-1)^2). - _R. J. Mathar_, Dec 05 2011
%F From _Wesley Ivan Hurt_, Jun 09 2016: (Start)
%F a(n) = a(n-1) + a(n-3) - a(n-4) for n>4.
%F a(n) = (24*n-9-9*cos(2*n*Pi/3)+5*sqrt(3)*sin(2*n*Pi/3))/9.
%F a(3k) = 8k-2, a(3k-1) = 8k-4, a(3k-2) = 8k-5. (End)
%p A047413:=n->(24*n-9-9*cos(2*n*Pi/3)+5*sqrt(3)*sin(2*n*Pi/3))/9: seq(A047413(n), n=1..100); # _Wesley Ivan Hurt_, Jun 09 2016
%t Select[Range[0, 150], MemberQ[{3, 4, 6}, Mod[#, 8]] &] (* _Wesley Ivan Hurt_, Jun 09 2016 *)
%o (Magma) [n : n in [0..150] | n mod 8 in [3, 4, 6]]; // _Wesley Ivan Hurt_, Jun 09 2016
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_