A062507 Table by antidiagonals related to partial sums and differences of Pell numbers (A000129).

0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 4, 3, 2, 1, 0, 10, 7, 5, 3, 1, 0, 24, 17, 12, 8, 4, 1, 0, 58, 41, 29, 20, 12, 5, 1, 0, 140, 99, 70, 49, 32, 17, 6, 1, 0, 338, 239, 169, 119, 81, 49, 23, 7, 1, 0, 816, 577, 408, 288, 200, 130, 72, 30, 8, 1, 0, 1970, 1393, 985, 696, 488, 330, 202, 102

Offset: 0

Author

Henry Bottomley, Jul 09 2001

Keywords

• nonn
• tabl

Examples

			Rows start (0,1,0,2,4,10,...), (0,1,1,3,7,17,...), (0,1,2,5,12,29,...) etc.
		

Crossrefs

Rows are effectively A052542, A001333, A000129, A048739, A048776. Columns are effectively A000004, A000012, A001477, A022856.

Formula

T(n, k) =T(n, k-1)+T(n-1, k) =2T(n, k-1)+T(n, k-2)+C(n+k-3, k) for n>2.