A355220
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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A225473: Triangle read by rows, k!*S_4(n, k) where S_m(n, k) are the Stirling-Frobenius subset numbers of order m; n >= 0, k >= 0.
(match row sums)
1 · 3, 4 · 9, 40, 32 · 27, 316, 672, 384 … row sums 1, 7, 81, 1399, 32289, 931687, …