A269939
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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A269939: Triangle read by rows, Ward numbers T(n, k) = Sum_{m=0..k} (-1)^(m + k) * binomial(n + k, n + m) * Stirling2(n + m, m), for n >= 0, 0 <= k <= n.
(identification, match triangle)
1 · 0, 1 · 0, 1, 3 · 0, 1, 10, 15 … row sums 1, 1, 4, 26, 236, 2752, 39208, 660032, …