A008276
identification: the entry's rule defines the sequence for every index; tail: the sequence is the entry's tail after some prefix rows; match_*: finite agreement only.
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A008276: Triangle of Stirling numbers of first kind, s(n, n-k+1), n >= 1, 1 <= k <= n. Also triangle T(n,k) giving coefficients in expansion of n!*binomial(x,n)/x in powers of x.
(identification, match triangle)
A059364 → x ↦ −x−1 (shift -1)1 · 1, -1 · 1, -3, 2 · 1, -6, 11, -6 … row sums 1, 0, 0, 0, 0, 0, 0, 0, …
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A048994: Triangle of Stirling numbers of first kind, s(n,k), n >= 0, 0 <= k <= n.
(match reversed triangle)
A028338 → x ↦ −2x−1 (shift -1)1 · 0, 1 · 0, -1, 1 · 0, 2, -3, 1 … row sums 1, 1, 0, 0, 0, 0, 0, 0, …