A112493
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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A112493: Triangle read by rows, T(n, k) = Sum_{j=0..n} C(n-j, n-k)*E2(n, j), where E2 are the second-order Eulerian numbers A201637, for n >= 0 and 0 <= k <= n.
(identification, match triangle)
1 · 1, 1 · 1, 4, 3 · 1, 11, 25, 15 … row sums 1, 2, 8, 52, 472, 5504, 78416, 1320064, …