A125092
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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A125092: Triangle read by rows: T(n,k) = (k+1)^2*binomial(n,k) (0 <= k <= n).
(identification, match triangle)
A007318 → (θ+1)²1 · 1, 4 · 1, 8, 9 · 1, 12, 27, 16 … row sums 1, 5, 18, 56, 160, 432, 1120, 2816, …
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A007318 → (θ+1)² → reverse
(match reversed triangle)
1 · 4, 1 · 9, 8, 1 · 16, 27, 12, 1 … row sums 1, 5, 18, 56, 160, 432, 1120, 2816, …