A007483
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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A102662 → x ↦ x/(x+1)
(match row sums)
1 · 1, 4 · 1, 7, 9 · 1, 10, 28, 22 … row sums 1, 5, 17, 61, 217, 773, 2753, 9805, …
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A035607 → x ↦ x+1
(match row sums)
1 · 1 · 3, 2 · 7, 8, 2 … row sums 1, 1, 5, 17, 61, 217, 773, 2753, …
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A122542 → x ↦ x/(x+1)
(match row sums)
1 · 0, 1 · 0, 2, 3 · 0, 2, 8, 7 … row sums 1, 1, 5, 17, 61, 217, 773, 2753, …
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A113413 → x ↦ x/(x+1)
(match row sums)
1 · 2, 3 · 2, 8, 7 · 2, 14, 28, 17 … row sums 1, 5, 17, 61, 217, 773, 2753, 9805, …
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A249252 → reverse
(match row sums)
1 · 4, 1 · 8, 8, 1 · 16, 32, 12, 1 … row sums 1, 5, 17, 61, 217, 773, 2753, 9805, …
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A035607 → basis A007318
(match row sums)
1 · 1 · 3, 2 · 7, 8, 2 … row sums 1, 1, 5, 17, 61, 217, 773, 2753, …
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A249252: Triangular array: row n gives the coefficients of the polynomial p(n,x) defined in Comments.
(match row sums)
1 · 1, 4 · 1, 8, 8 · 1, 12, 32, 16 … row sums 1, 5, 17, 61, 217, 773, 2753, 9805, …