A003577
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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A166973: Triangle T(n,k) read by rows: T(n, k) = (m*n - m*k + 1)*T(n - 1, k - 1) + (5*k - 4)*(m*k - (m - 1))*T(n - 1, k) where m = 0.
(match row sums)
1 · 1, 1 · 1, 7, 1 · 1, 43, 18, 1 … row sums 1, 2, 9, 63, 536, 5307, 60389, 775988, …