A062145
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.
-
A062145: Triangle read by rows: T(n, k) = [z^k] P(n, z) where P(n, z) = Sum_{k=0..n} binomial(n, k) * Pochhammer(n - k + c, k) * z^k / k! and c = 4.
(identification, match triangle)
1 · 1, 4 · 1, 10, 10 · 1, 18, 45, 20 … row sums 1, 5, 21, 84, 330, 1287, 5005, 19448, …
-
A062145 → reverse
(match reversed triangle)
1 · 4, 1 · 10, 10, 1 · 20, 45, 18, 1 … row sums 1, 5, 21, 84, 330, 1287, 5005, 19448, …