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 A168186 #20 May 12 2025 03:10:27
%S A168186 1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,
%T A168186 29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,
%U A168186 54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78
%N A168186 Positive numbers that are not multiples of 12.
%C A168186 121 (in decimal) is a member of this sequence but not a member of A023805. - _Robert Munafo_, Jan 26 2010
%C A168186 80 is a member of this sequence but is not a member of A160453. - _Franklin T. Adams-Watters_, Jan 26 2010
%H A168186 G. C. Greubel, <a href="/A168186/b168186.txt">Table of n, a(n) for n = 1..1000</a>
%H A168186 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,0,0,1,-1).
%F A168186 A168185(a(n)) = 1.
%F A168186 A109015(a(n)) < 12.
%F A168186 From _Chai Wah Wu_, Jan 16 2020: (Start)
%F A168186 a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.
%F A168186 G.f.: x*(x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)/(x^12 - x^11 - x + 1). (End)
%F A168186 Sum_{n>=1} (-1)^(n+1)/a(n) = (12*sqrt(6) - 4*sqrt(3) + 6*sqrt(2) - 15)*Pi/72. - _Amiram Eldar_, May 12 2025
%e A168186 156 is in A023805 but not in this sequence. - _Franklin T. Adams-Watters_, Jan 26 2010
%t A168186 Select[Table[n,{n,200}],Mod[#,12]!=0&] (* _Vladimir Joseph Stephan Orlovsky_, Feb 18 2011*)
%Y A168186 Complement of A008594.
%Y A168186 Cf. A109015, A168185.
%Y A168186 All three of A023805, A160453, A168186 are different.
%K A168186 nonn,easy
%O A168186 1,2
%A A168186 _Reinhard Zumkeller_, Nov 30 2009