A063967
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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A063967: Triangle read by rows, T(n,k) = T(n-1,k) + T(n-2,k) + T(n-1,k-1) + T(n-2,k-1) and T(0,0) = 1.
(identification, match triangle)
1 · 1, 1 · 2, 3, 1 · 3, 7, 5, 1 … row sums 1, 2, 6, 16, 44, 120, 328, 896, …
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A063967 → reverse
(match reversed triangle)
1 · 1, 1 · 1, 3, 2 · 1, 5, 7, 3 … row sums 1, 2, 6, 16, 44, 120, 328, 896, …