A344565
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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A344565: Triangle read by rows, for 0 <= k <= n: T(n, k) = binomial(n, k) * binomial(binomial(n + 3, 2), 2).
(identification, match reversed triangle, match triangle)
3 · 15, 15 · 45, 90, 45 · 105, 315, 315, 105 … row sums 3, 30, 180, 840, 3360, 12096, 40320, …