The complex numbers an, n > 0, are defined by the condition that Σan (z − 2i)” = 1+2z + 3z² + · · · = Σ(n+1)z" n>0 11>0 holds for each z in C such that |z| < 1 and Jm (z) > 0 (here Jm (z) denotes the imaginary part of z.) What is lim sup van?

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