A080421
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 → (1/3+(1/2)n+(1/6)n²)θ+1+(3/2)n+(1/2)n² → x ↦ x/(x+1)
(match row sums)
1 · 3, 7 · 6, 28, 32 · 10, 70, 160, 120 … row sums 1, 10, 66, 360, 1755, 7938, 34020, …