I've been looking in vain (most books I came across give identities involving sums or recurrence relations, but do not give much attention to fixed values) for a reference to the following identity: $$S(n,n-3)={n \choose 2}{n \choose 4},$$ where $S(n,k)$ is the unsigned Stirling number of the first kind. Is this well-known, or too trivial to be mentioned anywhere?
2026-03-29 10:29:32.1774780172
Is this identity involving Stirling numbers of the first kind well-known?
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The identity and the proof for the identity are there in the wiki link you have sent.