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%I #5 Dec 18 2016 23:19:36
%S 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 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 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 Table (by antidiagonals) of unlabeled alternating octupi with n black nodes and k white nodes.
%D F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, p. 113 (2.4.41).
%F 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 1 1 0 0 0 ...
%e 1 4 3 1 0 ...
%e 0 3 10 9 3 ...
%e 0 1 9 28 28 ...
%e 0 0 3 28 76 ...
%Y Main diagonal: A091468. Row sums: A091468. Cf. A091466.
%K nonn,tabl
%O 1,5
%A _Christian G. Bower_, Jan 12 2004