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EXAMPLE
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The coefficients of x^(2k-1), k>=1, in the n-th iterations of x/(1-x^2) begin:
n=1: [(1), 1, 1, 1, 1, 1, 1, 1, ...];
n=2: [1,(2), 5, 13, 34, 89, 233, 610, 1597, ...];
n=3: [1, 3,(12), 51, 221, 965, 4227, 18540, ...];
n=4: [1, 4, 22,(130), 789, 4848, 29975, 185953, ...];
n=5: [1, 5, 35, 265,(2070), 16420, 131353, 1055966, ...];
n=6: [1, 6, 51, 471, 4501,(43771), 429939, 4249026, ...];
n=7: [1, 7, 70, 763, 8624, 99344,(1157226), 13575289, ...];
n=8: [1, 8, 92, 1156, 15086, 200880, 2707230,(36768138), ...]; ...
coefficients in parenthesis form the initial terms of this sequence.
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