A082761
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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A123519 → x ↦ x/(x+1)
(match row sums)
1, 8, 11 · 1, 15, 47, 41 · 1, 24, 126, 240, 153 … row sums 20, 104, 544, 2848, 14912, 78080, …