A205946 Triangle read by rows related to A000984, central binomial coefficients.

1, 1, 1, 1, 4, 1, 1, 12, 6, 1, 1, 33, 27, 8, 1, 1, 88, 108, 44, 10, 1, 1, 232, 405, 208, 65, 12, 1, 1, 609, 1459, 908, 350, 90, 14, 1

Offset: 0

Author

Gary W. Adamson, Feb 01 2012

Keywords

• nonn
• tabl

Examples

			First few rows of the triangle =
1;
1, 1;
1, 4, 1;
1, 12, 6, 1;
1, 33, 27, 8, 1;
1, 88, 108, 44, 10, 1;
1, 232, 405, 208, 65, 12, 1;
1, 609, 1459, 908, 350, 90, 14, 1;
...
Row 2 = (1, 4, 1) = row 4 of triangle A191314.
Row 3 = (1, 12, 6, 1) = finite differences of column 6 of the array shown in A205573: (1, 13, 19, 20)
		

Crossrefs

Cf. A000984 (row sums), A001405, A191314, A205573, A205945 (companion).

Formula

T(n,k) = A191314(2*n,k).

Take finite differences of even numbered columns of the A205573 array from the top -> down.