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Feb 27, 2018 at 10:36 comment added user3141592 I suppose that what it is meant to be said in this answer is a variation of the formula (a3) from encyclopediaofmath.org/index.php/Bell_polynomial . Thank you.
Feb 22, 2018 at 8:56 comment added user3141592 I had never seen before a formulation of Faà di Bruno's formula involving that factorial in the denominator, and I seem to be having some trouble working with it. Take, for example, $f(x)=\sum_{n=0}^\infty x^n$. Then, $d_n$ should always equal $1$, but I am not getting that result. Is the latest sum over all partitions of $k$ in exactly $r$ summands? Does it allow to repeat the same summands but in different order? (i.e. taking first $k_1=2, \ k_2=1$ and then $k_1=1, \ k_2=2$)
Feb 20, 2018 at 16:11 comment added Max Alekseyev We know that $f(0)=a_0$.
Feb 20, 2018 at 15:24 vote accept user3141592
Feb 20, 2018 at 11:13 history answered Bazin CC BY-SA 3.0