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EXAMPLE
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Also generated by iterated binomial transforms in the following way:
[1,2,6,25,135,909,7417,71698,...] = binomial([1,1,3,12,64,433,3567,...]);
[1,3,12,64,433,3567,34905,...] = binomial^2([1,1,4,20,129,1045,...]);
[1,4,20,129,1045,10209,117069,...] = binomial^3([1,1,5,30,226,2121,...]);
[1,5,30,226,2121,23919,314605,...] = binomial^4([1,1,6,42,361,3835,...]);
[1,6,42,361,3835,48885,724569,...] = binomial^5([1,1,7,56,540,6385,...]);
[1,7,56,540,6385,90519,1490457,..] = binomial^6([1,1,8,72,769,9993,...]);
etc.
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