A085791 Triangle T(n,k) read by rows; given by [0,1,0,1,0,1,0,1,...] DELTA [1,0,1,1,1,2,1,3,1,4,1,5,...], where DELTA is the operator defined in A084938.

1, 0, 1, 0, 1, 1, 0, 1, 3, 1, 0, 1, 6, 7, 1, 0, 1, 10, 24, 16, 1, 0, 1, 15, 60, 86, 40, 1, 0, 1, 21, 125, 301, 312, 116, 1, 0, 1, 28, 231, 826, 1443, 1215, 395, 1, 0, 1, 36, 392, 1932, 4992, 7055, 5187, 1551, 1, 0, 1, 45, 624, 4032, 14274, 29629, 36242, 24280

Offset: 0

Author

Philippe Deléham, Jul 23 2003

Keywords

• easy
• nonn
• tabl

Examples

			1;
0, 1;
0, 1, 1;
0, 1, 3, 1;
0, 1, 6, 7, 1;
0, 1, 10, 24, 16, 1; ....
		

Crossrefs

Cf. A084938, A085838.

Cf. A000110, A000217, A014205, A029761.

Formula

Sum_{k>=0} T(n,k) = A000110(n).

T(n + 1; 2) = A000217(n).

T(n + 2; 3) = A014205(n)= (1/12)*(n + 5)*(n + 1)*n^2.

T(n + 2; n + 1) = A029761(n).