A137320
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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A137320: Coefficients of raising factorial polynomials, T(n,k) = [x^k] p(x, n) where p(x, n) = (m*x + n - 1)*p(x, n - 1) with p[x, 0] = 1, p[x, -1] = 0, p[x, 1] = m*x and m = 2. Triangle read by rows…
(identification, match triangle)
1 · 0, 2 · 0, 2, 4 · 0, 4, 12, 8 … row sums 1, 2, 6, 24, 120, 720, 5040, 40320, …