A292143 Triangle read by rows: T(n,k) = (-4)^(1 - k mod 2) * 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, -4, 0, 1, -4, 0, 1, -8, 0, 1, -8, -4, 0, 1, -12, -4, 0, 1, -12, -8, 0, 1, -16, -12, 0, 1, -16, -16, 16, 0, 1, -20, -20, 16, 0, 1, -20, -28, 32, 0, 1, -24, -32, 48, 0, 1, -24, -40, 80, 0, 1, -28, -48, 96, 16, 0, 1, -28, -56, 144, 16, 0, 1, -32

Offset: 0

Author

Seiichi Manyama, Sep 09 2017

Keywords

• sign
• tabf

Examples

			First few rows are:
  1;
  0, 1;
  0, 1;
  0, 1,  -4;
  0, 1,  -4;
  0, 1,  -8;
  0, 1,  -8,  -4;
  0, 1, -12,  -4;
  0, 1, -12,  -8;
  0, 1, -16, -12;
  0, 1, -16, -16, 16.
		

Links

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

Crossrefs

Row sums give A292141.

Columns 0-1 give A000007, A000012.

Cf. A292049.