A013612
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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A038243: Triangle whose (i,j)-th entry is 5^(i-j)*binomial(i,j).
(match reversed triangle)
1 · 5, 1 · 25, 10, 1 · 125, 75, 15, 1 … row sums 1, 6, 36, 216, 1296, 7776, 46656, …
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A013611 → x ↦ x/(x+1)
(match triangle)
1 · 1, 5 · 1, 10, 25 · 1, 15, 75, 125 … row sums 1, 6, 36, 216, 1296, 7776, 46656, …
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Triangle of coefficients in expansion of (1+5x)^n.
(tail)
1, 10, 25 · 1, 15, 75, 125 · 1, 20, 150, 500, 625 … row sums 36, 216, 1296, 7776, 46656, 279936, …