A124932
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.
-
A124932: Triangle read by rows: T(n,k) = k*(k+1)*binomial(n,k)/2 (1 <= k <= n).
(identification, match triangle)
A007318 → (1/2+(1/2)n)θ+1+n1 · 2, 3 · 3, 9, 6 · 4, 18, 24, 10 … row sums 1, 5, 18, 56, 160, 432, 1120, 2816, …
-
A007318 → (1/2+(1/2)n)θ+1+n → reverse
(match reversed triangle)
1 · 3, 2 · 6, 9, 3 · 10, 24, 18, 4 … row sums 1, 5, 18, 56, 160, 432, 1120, 2816, …