A168511 Triangle T(n,k), read by rows, given by [0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,...] DELTA [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,...] where DELTA is the operator defined in A084938.

1, 0, 1, 0, 0, 2, 0, 0, 1, 4, 0, 0, 2, 4, 8, 0, 0, 4, 10, 12, 16, 0, 0, 8, 24, 36, 32, 32, 0, 0, 16, 56, 101, 112, 80, 64, 0, 0, 32, 128, 270, 360, 320, 192, 128, 0, 0, 64, 288, 696, 1086, 1160, 864, 448, 256, 0, 0, 128, 640, 1744, 3120, 3900, 3488, 2240, 1024, 512

Offset: 0

Author

Philippe Deléham, Nov 28 2009

Keywords

• nonn
• tabl

Examples

			Triangle begins:
  1;
  0, 1;
  0, 0,  2;
  0, 0,  1,  4;
  0, 0,  2,  4,   8;
  0, 0,  4, 10,  12,  16;
  0, 0,  8, 24,  36,  32, 32;
  0, 0, 16, 56, 101, 112, 80, 64;
  ...
		

Links

• Alois P. Heinz, Rows n = 0..140, flattened

Crossrefs

Cf. A021913, A133872.

Formula

Sum_{k=0..n} T(n,k)*x^(n-k) = A001405(n), A011782(n), A000108(n), A168490(n), A168492(n) for x = -1,0,1,2,3 respectively.

Extensions

Corrected and extended by Philippe Deléham, Mar 20 2013