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Tagged with inequalities stirling-numbers
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Stirling number, Delannoy number, and binomial coefficients in a sum
I want to compute/prove that the following sum is positive:
$$ \sum_{i = 0}^n \left[\frac{D(n - i, i)}{d} \sum_{j = m}^d s(d, j) \binom{j}{m} (d - i)^{j - m}\right] > 0
$$
where $s(d, j)$ is the ...
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