proposed
approved
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
proposed
approved
editing
proposed
T[n_, k_] := (1/k)*Binomial[k, n - k]*Binomial[k, n - k + 1];
Table[T[n, k], {n, 1, 14}, {k, 1, n}] // Flatten (* Jean-François Alcover, Jul 06 2018, from Maple *)
approved
editing
proposed
approved
editing
proposed
1;
0, 1;
0, 1, 1;
0, 0, 3, 1;
0, 0, 1, 6, 1;
0, 0, 0, 6, 10, 1;
0, 0, 0, 1, 20, 15, 1;
0, 0, 0, 0, 10, 50, 21, 1;
0, 0, 0, 0, 1, 50, 105, 28, 1;
0, 0, 0, 0, 0, 15, 175, 196, 36, 1;
...
...
proposed
editing
editing
proposed
Triangle begins:
1;
0, 1;
0, 1, 1;
0, 0, 3, 1;
0, 0, 1, 6, 1;
0, 0, 0, 6, 10, 1;
0, 0, 0, 1, 20, 15, 1;
0, 0, 0, 0, 10, 50, 21, 1;
0, 0, 0, 0, 1, 50, 105, 28, 1;
0, 0, 0, 0, 0, 15, 175, 196, 36, 1;
...
(PARI) T(n, k) = (1/k)*binomial(k, n-k)*binomial(k, n-k+1); \\ Andrew Howroyd, Feb 27 2018
approved
editing
proposed
approved
editing
proposed