A080420
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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A007318 → (1/2+(1/2)n)θ+1+n → x ↦ x/(x+1)
(match row sums)
1 · 2, 5 · 3, 15, 18 · 4, 30, 72, 56 … row sums 1, 7, 36, 162, 675, 2673, 10206, 37908, …