A249248
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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A249248: Triangular array: row n gives the coefficients of the polynomial p(n,x) defined in Comments.
(identification, match triangle)
1 · 1, 3 · 1, 7, 3 · 1, 12, 22, 3 … row sums 1, 4, 11, 38, 131, 490, 1897, 7714, …
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A249248 → reverse
(match reversed triangle)
1 · 3, 1 · 3, 7, 1 · 3, 22, 12, 1 … row sums 1, 4, 11, 38, 131, 490, 1897, 7714, …