A260216
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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A271697: Triangle read by rows, T(n,k) = Sum_{j=0..n} C(-j-1,-n-1)*E1(j,k), E1 the Eulerian numbers A173018, for n>=0 and 0<=k<=n.
(match row sums)
1 · 0, 1 · 0, 1, 1 · 0, 1, 7, 1 … row sums 1, 0, 1, 2, 9, 44, 265, 1854, …