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 A266509 #20 Feb 14 2017 15:16:19 %S A266509 0,0,1,1,1,1,3,3,1,1,3,3,5,5,7,7,1,1,3,3,5,5,7,7,5,5,11,11,17,17,15, %T A266509 15,1,1,3,3,5,5,7,7,5,5,11,11,17,17,15,15,5,5,11,11,17,17,23,23,29,29, %U A266509 35,35,41,41,31,31,1,1,3,3,5,5,7,7,5,5,11,11,17,17,15,15,5,5,11,11,17,17,23,23,29,29 %N A266509 Terms of A256263 repeated. %C A266509 First differs from A266529 at a(55), with which it shares infinitely many terms. %C A266509 First differs from A266539 at a(25), with which it shares infinitely many terms. %C A266509 For an illustration of initial terms consider the diagram of A256263 in the fourth quadrant of the square grid together with a reflected copy in the second quadrant. %H A266509 Ivan Neretin, <a href="/A266509/b266509.txt">Table of n, a(n) for n = 1..8192</a> %e A266509 Written as an irregular triangle in which the row lengths are twice the terms of A011782 the sequence begins: %e A266509 0,0; %e A266509 1,1; %e A266509 1,1,3,3; %e A266509 1,1,3,3,5,5,7,7; %e A266509 1,1,3,3,5,5,7,7,5,5,11,11,17,17,15,15; %e A266509 1,1,3,3,5,5,7,7,5,5,11,11,17,17,15,15,5,5,11,11,17,17,23,23,29,29,35,35,41,41,31,31; %e A266509 ... %e A266509 Row sums give 0 together with A004171. %t A266509 Riffle[#, #] &@ Flatten@Join[{0}, NestList[Join[#, Range[Length[#] - 1]*6 - 1, {2 #[[-1]] + 1}] &, {1}, 5]] (* _Ivan Neretin_, Feb 14 2017 *) %Y A266509 Partial sums give A266510. %Y A266509 Cf. A004171, A011782, A256263, A256264, A256265, A266529, A266539. %K A266509 nonn,tabf %O A266509 1,7 %A A266509 _Omar E. Pol_, Jan 02 2016