A051607
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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A257624: Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 3*x + 5.
(match row sums)
1 · 5, 5 · 25, 80, 25 · 125, 915, 915, 125 … row sums 1, 10, 130, 2080, 39520, 869440, …