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 A091467 #6 Sep 05 2025 00:22:29 %S A091467 1,1,1,0,4,0,0,3,3,0,0,1,10,1,0,0,0,9,9,0,0,0,0,3,28,3,0,0,0,0,1,28, %T A091467 28,1,0,0,0,0,0,15,76,15,0,0,0,0,0,0,3,90,90,3,0,0,0,0,0,0,1,55,238, %U A091467 55,1,0,0,0,0,0,0,0,18,297,297,18,0,0,0,0,0,0,0,0,3,219,736,219,3,0,0,0,0,0 %N A091467 Table (by antidiagonals) of unlabeled alternating octopuses with n black nodes and k white nodes. %D A091467 F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, p. 113 (2.4.41). %F A091467 G.f.: A(x, y) = Sum_{k>=1} (phi(k)/k)*log((1-x^n*y^n)^2/(1-x^n*y^n*(3+x^n+y^n))). %e A091467 1 1 0 0 0 ... %e A091467 1 4 3 1 0 ... %e A091467 0 3 10 9 3 ... %e A091467 0 1 9 28 28 ... %e A091467 0 0 3 28 76 ... %Y A091467 Main diagonal: A091468. Row sums: A091468. Cf. A091466. %K A091467 nonn,tabl,changed %O A091467 1,5 %A A091467 _Christian G. Bower_, Jan 12 2004