A291895 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.

1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 3, 2, 0, 5, 3, 1, 0, 8, 5, 1, 0, 13, 9, 2, 0, 22, 14, 4, 0, 36, 24, 6, 1, 0, 60, 40, 11, 1, 0, 100, 66, 18, 2, 0, 166, 111, 31, 4, 0, 277, 184, 52, 7, 0, 461, 308, 86, 12, 1, 0, 769, 513, 146, 20, 1, 0, 1282, 855, 243, 35, 2

Offset: 0

Author

Seiichi Manyama, Sep 05 2017

Keywords

• nonn
• tabf

Examples

			First few rows are:
  1;
  0,  1;
  0,  1;
  0,  1,  1;
  0,  2,  1;
  0,  3,  2;
  0,  5,  3, 1;
  0,  8,  5, 1;
  0, 13,  9, 2;
  0, 22, 14, 4;
  0, 36, 24, 6, 1.
		

Links

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

Crossrefs

Row sums give A291896.

Columns 0-1 give A000007, A186085 (for n>0).