A099977
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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basis-map coefficients of A297191, shifted → basis A008277
(match row sums)
1 · 1, 3, 1 · 1, 15, 25, 10, 1 … row sums 1, 5, 52, 877, 21147, 678570, 27644437, …