A094344 Triangle T(n,k), 0<= k <= n, read by rows; given by [0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, ...] DELTA [1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, ...] where DELTA is the operator defined in A084938.

1, 0, 1, 0, 1, 1, 0, 2, 4, 1, 0, 6, 18, 13, 1, 0, 24, 96, 119, 46, 1, 0, 120, 600, 1059, 777, 199, 1, 0, 720, 4320, 9890, 10760, 5536, 1072, 1, 0, 5040, 35280, 99158, 142990, 111316, 44228, 6985, 1, 0, 40320, 322560, 1073692, 1926312, 2009578, 1217352, 395865, 53218, 1

Offset: 0

Author

Philippe Deléham, Jun 02 2004

Keywords

• nonn
• tabl

Examples

			Triangle begins:
  1;
  0,  1;
  0,  1,  1;
  0,  2,  4,   1;
  0,  6, 18,  13,  1;
  0, 24, 96, 119, 46, 1;
  ...
		

Crossrefs

Row sums: A094664.

Columns: A000007, A000142, A001563.

Diagonals: A000012, A014145.

Formula

Sum_{k=0..n} T(n,k)*3^(n-k) = A128709(n). - Philippe Deléham, Mar 27 2007

Extensions

Row 9 completed by Michel Marcus, Jun 20 2023