A126351
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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A126351: Triangle read by rows: matrix product of the Stirling numbers of the second kind with the binomial coefficients.
(identification, match triangle)
1 · 1, 2 · 1, 5, 4 · 1, 9, 19, 8 … row sums 1, 3, 10, 37, 151, 674, 3263, 17007, …
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A143494: Triangle read by rows: 2-Stirling numbers of the second kind.
(match reversed triangle)
1 · 2, 1 · 4, 5, 1 · 8, 19, 9, 1 … row sums 1, 3, 10, 37, 151, 674, 3263, 17007, …
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A126351 → reverse
(match reversed triangle)
1 · 2, 1 · 4, 5, 1 · 8, 19, 9, 1 … row sums 1, 3, 10, 37, 151, 674, 3263, 17007, …
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A143494 → reverse
(match triangle)
1 · 1, 2 · 1, 5, 4 · 1, 9, 19, 8 … row sums 1, 3, 10, 37, 151, 674, 3263, 17007, …