A118424
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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A118424: Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 001 (n,k>=0).
(identification, match triangle)
A102547 → x ↦ (1/8)x−1/81 · 2 · 4 · 7, 1 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …