A008544
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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A286718: Triangle read by rows: T(n, k) is the Sheffer triangle ((1 - 3*x)^(-1/3), (-1/3)*log(1 - 3*x)). A generalized Stirling1 triangle.
(match row sums)
1 · 1, 1 · 4, 5, 1 · 28, 39, 12, 1 … row sums 1, 2, 10, 80, 880, 12320, 209440, …
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A088996 → basis A007318
(match row sums)
1 · 1, 1 · 3, 5, 2 · 15, 34, 25, 6 … row sums 1, 2, 10, 80, 880, 12320, 209440, …
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A142458: Triangle T(n,k) read by rows: T(n,k) = 1 if k=1 or k=n, otherwise T(n,k) = (3*n-3*k+1)*T(n-1,k-1) + (3*k-2)*T(n-1,k).
(match row sums)
1 · 1, 1 · 1, 8, 1 · 1, 39, 39, 1 … row sums 1, 2, 10, 80, 880, 12320, 209440, …