A292049 Triangle read by rows: T(n,k) = (-1)^(k-1) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).

1, 0, 1, 0, 1, 0, 1, -1, 0, 1, -1, 0, 1, -2, 0, 1, -2, -1, 0, 1, -3, -1, 0, 1, -3, -2, 0, 1, -4, -3, 0, 1, -4, -4, 1, 0, 1, -5, -5, 1, 0, 1, -5, -7, 2, 0, 1, -6, -8, 3, 0, 1, -6, -10, 5, 0, 1, -7, -12, 6, 1, 0, 1, -7, -14, 9, 1, 0, 1, -8, -16, 11, 2, 0, 1, -8, -19

Offset: 0

Author

Seiichi Manyama, Sep 08 2017

Keywords

• sign
• tabf
• look

Examples

			First few rows are:
  1;
  0, 1;
  0, 1;
  0, 1, -1;
  0, 1, -1;
  0, 1, -2;
  0, 1, -2, -1;
  0, 1, -3, -1;
  0, 1, -3, -2;
  0, 1, -4, -3;
  0, 1, -4, -4, 1.
		

Links

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

Crossrefs

Row sums give (-1)*A278400.

Columns 0-1 give A000007, A000012.

Cf. A292047.