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Diagonal of square table A089447, which lists the coefficients of x^n*y^k in f(x,y) that satisfies: f(x,y) = g(x,y) + xy*f(x,y)^4 and where g(x,y) satisfies: 1 + (x+y-1)*g(x,y) + xy*g(x,y)^2 = 0.
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%I #4 Mar 30 2012 18:36:39

%S 1,4,48,841,18004,435654,11427992,317112363,9167951752,273436829602,

%T 8357069773840,260498528992976,8252868865615952,265043778330385821,

%U 8611226621063270068,282587565659572959007,9354553949064125991864

%N Diagonal of square table A089447, which lists the coefficients of x^n*y^k in f(x,y) that satisfies: f(x,y) = g(x,y) + xy*f(x,y)^4 and where g(x,y) satisfies: 1 + (x+y-1)*g(x,y) + xy*g(x,y)^2 = 0.

%Y Cf. A089447 (table), A089449 (antidiagonal sums), A002293.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Nov 02 2003