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A089449 Antidiagonal sums 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. 2
1, 2, 6, 22, 90, 396, 1837, 8870, 44186, 225628, 1175322, 6222788, 33392644, 181216728, 992829379, 5483790870, 30502513970, 170705626308, 960498281302, 5430200987260, 30830681187480, 175715526842056, 1004931956037782 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.: A(x) = sum(n>=0, Catalan(n+1)*x^n) + x^2*A(x)^4, where Catalan(n)=(2n)!/(n!*(n+1)!).

CROSSREFS

Cf. A089447 (table), A089448 (diagonal), A002293.

Sequence in context: A103137 A165546 A053617 * A150271 A150272 A124293

Adjacent sequences:  A089446 A089447 A089448 * A089450 A089451 A089452

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Nov 02 2003

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Last modified February 14 17:10 EST 2012. Contains 205644 sequences.