A133807 A007318 * (A097806 + A133566 - I), where I is the identity matrix.

1, 2, 1, 3, 4, 1, 4, 9, 4, 1, 5, 16, 10, 6, 1, 6, 25, 20, 20, 6, 1, 7, 36, 35, 50, 21, 8, 1, 8, 49, 56, 105, 56, 35, 8, 1, 9, 64, 84, 196, 126, 112, 36, 10, 1, 10, 81, 120, 336, 252, 294, 120, 54, 10, 1

Offset: 1

Author

Gary W. Adamson, Sep 23 2007

Keywords

• nonn
• tabl
• more

Comments

Row sums = A133806: (1, 3, 8, 18, 38, 78, 158, ...).

Examples

			First few rows of the triangle:
  1;
  2,  1;
  3,  4,  1;
  4,  9,  4,  1;
  5, 16, 10,  6,  1;
  6, 25, 20, 20,  6,  1;
  7, 36, 35, 50, 21,  8,  1;
  ...
		

Crossrefs

Cf. A133566, A007318 , A097806, A133806.

Formula

Binomial transform of matrix M, where M = (A097806 + A133566 - I) = triangle with (1,1,1,...) in the main diagonal, (1,2,1,2,1,...) in the subdiagonal and the rest zeros. I = Identity matrix.