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

0,6

Links

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

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.

Example

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;
  ...

Crossrefs

Cf. A021913, A133872.

Sequence in context: A123634 A330140 A091866 * A111146 A109077 A355916

Adjacent sequences: A168508 A168509 A168510 * A168512 A168513 A168514

Keyword

nonn,tabl,changed

Author

Philippe Deléham, Nov 28 2009

Extensions

Corrected and extended by Philippe Deléham, Mar 20 2013

Status

approved