A006130
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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A052553 → basis A013609
(match row sums)
1 · 1 · 2, 2 · 3, 4 … row sums 1, 1, 4, 7, 19, 40, 97, 217, …
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A011973 → basis A013609
(match row sums)
1 · 1 · 2, 2 · 3, 4 … row sums 1, 1, 4, 7, 19, 40, 97, 217, …
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A249139: Triangular array read by rows: row n gives the coefficients of the polynomial p(n,x) defined in Comments.
(match row sums)
A011973 → x ↦ x+2 (shift +1)1 · 3, 1 · 5, 2 · 11, 7, 1 … row sums 1, 4, 7, 19, 40, 97, 217, 508, …
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A169803 → basis A013609
(match row sums)
1 · 2, 2 · 3, 4 · 5, 10, 4 … row sums 1, 4, 7, 19, 40, 97, 217, 508, …
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A304236: Triangle T(n,k) = T(n-1,k) + 3*T(n-2,k-1) for k = 0..floor(n/2), with T(0,0) = 1, T(n,k) = 0 for n or k < 0, read by rows.
(match row sums)
1 · 1 · 1, 3 · 1, 6 … row sums 1, 1, 4, 7, 19, 40, 97, 217, …
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A011973 → basis A007318 → x ↦ x+1
(match row sums)
1 · 1 · 3, 1 · 5, 2 … row sums 1, 1, 4, 7, 19, 40, 97, 217, …