A249252
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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A249252: Triangular array: row n gives the coefficients of the polynomial p(n,x) defined in Comments.
(identification, match triangle)
1 · 1, 4 · 1, 8, 8 · 1, 12, 32, 16 … row sums 1, 5, 17, 61, 217, 773, 2753, 9805, …
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A249252 → reverse
(match reversed triangle)
1 · 4, 1 · 8, 8, 1 · 16, 32, 12, 1 … row sums 1, 5, 17, 61, 217, 773, 2753, 9805, …