A001813
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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A290319: Triangle read by rows: T(n, k) is the Sheffer triangle ((1 - 4*x)^(-1/4), (-1/4)*log(1 - 4*x)). A generalized Stirling1 triangle.
(match row sums)
1 · 1, 1 · 5, 6, 1 · 45, 59, 15, 1 … row sums 1, 2, 12, 120, 1680, 30240, 665280, …
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A085881: Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by A001147(n).
(match row sums)
1 · 1, 1 · 3, 6, 3 · 15, 45, 45, 15 … row sums 1, 2, 12, 120, 1680, 30240, 665280, …
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A142459: Triangle read by rows: T(n,k) = (4n-4k+1) * T(n-1,k-1) + (4k-3) * T(n-1,k).
(match row sums)
1 · 1, 1 · 1, 10, 1 · 1, 59, 59, 1 … row sums 1, 2, 12, 120, 1680, 30240, 665280, …