A120588
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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narayana
(match row sums)
1 · 1, 1 · 1, 3, 1 · 1, 6, 6, 1 … row sums 1, 2, 5, 14, 42, 132, 429, 1430, …
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A001263: Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle.
(match row sums)
1 · 1, 1 · 1, 3, 1 · 1, 6, 6, 1 … row sums 1, 2, 5, 14, 42, 132, 429, 1430, …
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A108838 → reverse
(match row sums)
2 · 2, 3 · 2, 8, 4 · 2, 15, 20, 5 … row sums 2, 5, 14, 42, 132, 429, 1430, 4862, …
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A108838: Triangle of Dyck paths counted by number of long interior inclines.
(match row sums)
2 · 3, 2 · 4, 8, 2 · 5, 20, 15, 2 … row sums 2, 5, 14, 42, 132, 429, 1430, 4862, …