A133938 A007318 * (A129686 + A133080 - I), where I is the identity matrix.

1, 2, 1, 4, 2, 1, 7, 4, 4, 1, 11, 8, 11, 4, 1, 16, 15, 25, 11, 6, 1, 22, 26, 50, 26, 22, 6, 1, 29, 42, 91, 56, 63, 22, 8, 1, 37, 64, 154, 112, 154, 64, 37, 8, 1, 46, 93, 24, 210, 336, 162, 129, 37, 10, 1

Offset: 1

Author

Gary W. Adamson, Sep 29 2007

Keywords

• nonn
• tabl
• more

Comments

Left column = A000124: (1, 2, 4, 7, 11, ...).

Row sums = A133124: (1, 3, 7, 16, 35, 74, ...).

Examples

			First few rows of the triangle:
   1;
   2,  1;
   4,  2,  1;
   7,  4,  4,  1;
  11,  8, 11,  4,  1;
  16, 15, 25, 11,  6,  1;
  22, 26, 50, 26, 22,  6,  1;
  ...
		

Crossrefs

Cf. A000124, A133124, A129686, A133080.

Formula

Binomial transform of matrix M, where M = a tridiagonal matrix with (1,1,1,...) in the main diagonal, (1,0,1,0,...) in the subdiagonal and (1,1,1,...) in the subsubdiagonal. M = (A129686 + A133080 - I), I = Identity matrix.