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 A271859 #12 Apr 19 2016 08:14:14 %S A271859 0,1,2,3,4,5,6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3, %T A271859 4,5,6,7,8,9,8,7,6,5,4,5,6,7,8,9,10,9,8,7,6,5,6,7,8,9,10,11,10,9,8,7, %U A271859 6,7,8,9,10,11,12,11,10,9,8,7,8,9,10,11 %N A271859 Six steps forward, five steps back. %H A271859 Colin Barker, <a href="/A271859/b271859.txt">Table of n, a(n) for n = 0..1000</a> %H A271859 <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 A271859 a(n) = a(n-1) + a(n-11) - a(n-12) for n>11. %F A271859 a(n) = Sum_{i=1..n} (-1)^floor((2*i-2)/11). %F A271859 G.f.: x*(1+x+x^2+x^3+x^4+x^5-x^6-x^7-x^8-x^9-x^10) / ((1-x)^2*(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10)). - _Colin Barker_, Apr 16 2016 %p A271859 A271859:=n->add((-1)^floor((2*i-2)/11), i=1..n): seq(A271859(n), n=0..200); %t A271859 Table[Sum[(-1)^Floor[(2 i - 2)/11], {i, n}], {n, 0, 100}] %o A271859 (PARI) concat(0, Vec(x*(1+x+x^2+x^3+x^4+x^5-x^6-x^7-x^8-x^9-x^10) / ((1-x)^2*(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10)) + O(x^50))) \\ _Colin Barker_, Apr 16 2016 %Y A271859 Cf. A008611 (one step back, two steps forward). %Y A271859 Cf. A058207 (three steps forward, two steps back). %Y A271859 Cf. A260644 (four steps forward, three steps back). %Y A271859 Cf. A271800 (five steps forward, four steps back). %K A271859 nonn,easy %O A271859 0,3 %A A271859 _Wesley Ivan Hurt_, Apr 15 2016