A002720
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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A144084: T(n,k) is the number of partial bijections of height k (height(alpha) = |Im(alpha)|) of an n-element set.
(match row sums)
1 · 1, 1 · 1, 4, 2 · 1, 9, 18, 6 … row sums 1, 2, 7, 34, 209, 1546, 13327, 130922, …
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A132393 → basis A008277
(match row sums)
1 · 1, 1 · 2, 4, 1 · 6, 18, 9, 1 … row sums 1, 2, 7, 34, 209, 1546, 13327, 130922, …