# Particular Values of Signed Stirling Numbers of the First Kind

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## Theorem

This page gathers together some particular values of signed Stirling numbers of the first kind.

### Signed Stirling Number of the First Kind: $s \left({0, n}\right)$

$s \left({0, n}\right) = \delta_{0 n}$

### Signed Stirling Number of the First Kind: $s \left({1, n}\right)$

$s \left({1, n}\right) = \delta_{1 n}$

### Signed Stirling Number of the First Kind: $s \left({n, n}\right)$

$s \left({n, n}\right) = 1$

### Signed Stirling Number of the First Kind: $s \left({n, n - 1}\right)$

$s \left({n, n - 1}\right) = -\dbinom n 2$

### Signed Stirling Number of the First Kind: $s \left({n + 1, 0}\right)$

$\map s {n + 1, 0} = 0$

### Signed Stirling Number of the First Kind: $s \left({n + 1, 1}\right)$

$s \left({n + 1, 1}\right) = \left({-1}\right)^n n!$