A154228
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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A154228: Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + ((n+1)*(n+2)*(2*n+3)/6)*T(n-2, k-1), read by rows.
(identification, match reversed triangle, match triangle)
1 · 1, 1 · 1, 16, 1 · 1, 47, 47, 1 … row sums 1, 2, 18, 96, 1182, 11100, 187680, …