A144439
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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A144439: Triangle T(n, k) = (m*(n-k) + 1)*T(n-1, k-1) + (m*(k-1) + 1)*T(n-1, k) + j*T(n-2, k-1), where T(n, 1) = T(n, n) = 1, m = 2, and j = 2, read by rows.
(identification, match reversed triangle, match triangle)
1 · 1, 1 · 1, 8, 1 · 1, 31, 31, 1 … row sums 1, 2, 10, 64, 532, 5448, 66440, 941056, …