A051580
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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A257613: 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) = 2*x + 4.
(match row sums)
1 · 4, 4 · 16, 48, 16 · 64, 416, 416, 64 … row sums 1, 8, 80, 960, 13440, 215040, 3870720, …