A156365
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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A156365: T(n, k) = E(n, k)*2^k where E(n,k) are the Eulerian numbers A173018, for n > 0 and 0 <= k <= n-1, additionally T(0,0) = 1.
(identification)
1, 8, 4 · 1, 22, 44, 8 · 1, 52, 264, 208, 16 … row sums 13, 75, 541, 4683, 47293, 545835, …