A291957 Triangle read by rows: T(n,k) = T(n-k,k-1) - T(n-k,k) + T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n).

1, 0, 1, 0, -1, 0, 1, 1, 0, 0, -1, 0, -1, 0, 0, 1, 1, 1, 0, 0, -1, -1, 0, -1, 1, 0, 0, 2, 0, 0, 0, -2, -2, 0, 1, 0, 0, 2, 1, -1, 0, 2, 0, 0, 0, 0, -2, -1, -1, 0, 0, 1, 2, 0, -1, 0, 1, -2, 0, 2, 1, 0, -3, -1, 0, 0, -1, 0, 2, 3, 1, -1, 0, 0, 1, -2, 0, 1, 0, 0, -3, 0

Offset: 0

Author

Seiichi Manyama, Sep 06 2017

Keywords

• sign
• tabf

Examples

			First few rows are:
  1;
  0,  1;
  0, -1;
  0,  1,  1;
  0,  0, -1;
  0, -1,  0;
  0,  1,  1,  1;
  0,  0, -1, -1;
  0, -1,  1,  0;
  0,  2,  0,  0;
  0, -2, -2,  0, 1.
		

Links

• Seiichi Manyama, Rows n = 0..481, flattened

Crossrefs

Row sums give A291958.

Columns 0-1 give A000007, (-1)*A111165 (for n>0).