A010054
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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A010054: a(n) = 1 if n is a triangular number, otherwise 0.
(identification)
1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 1, 1, 1, 1, …