A161198
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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A161198: Triangle of polynomial coefficients related to the series expansions of (1-x)^((-1-2*n)/2).
(identification, match triangle)
1 · 1, 2 · 3, 8, 4 · 15, 46, 36, 8 … row sums 1, 3, 15, 105, 945, 10395, 135135, …