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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
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Absolute sum of coefficient of (1-x)^b (1+x)^{(n-b)}
Let $f(x)=(1-x)^b (1+x)^{(n-b)}= \sum_{i=0}^n a_ix^i$, where $n$ is a positive
integer and $b$ is a non-negative integer less than $n$. I want to find an
upper bound on $\sum_{i=0}^n |a_i|$ other than …