A003517
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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A145597: Generalized Narayana numbers, T(n, k) = 3/(n + 1)*binomial(n + 1, k + 2)*binomial(n + 1, k - 1), triangular array read by rows.
(match row sums)
1 · 3, 3 · 6, 15, 6 · 10, 45, 45, 10 … row sums 1, 6, 27, 110, 429, 1638, 6188, 23256, …