A131768 2*(A007318 * A097807) - A000012.

1, 3, 1, 5, 5, 1, 7, 11, 7, 1, 9, 19, 19, 9, 1, 11, 29, 39, 29, 11, 1, 13, 41, 69, 69, 41, 13, 1, 15, 55, 111, 139, 111, 55, 15, 1, 17, 71, 167, 251, 251, 167, 71, 17, 1, 19, 89, 239, 419, 503, 419, 239, 89, 19, 1

Offset: 0

Author

Gary W. Adamson, Jul 13 2007

Keywords

• nonn
• tabl

Comments

Row sums = A000295, the Eulerian numbers, starting (1, 4, 11, 26, 57, 120, ...).

Examples

			First few rows of the triangle:
   1;
   3,  1;
   5,  5,   1;
   7, 11,   7,   1;
   9, 19,  19,   9,   1;
  11, 29,  39,  29,  11,  1;
  13, 41,  69,  69,  41, 13,  1;
  15, 55, 111, 139, 111, 55, 15, 1;
  ...
		

Crossrefs

Cf. A007318, A097807, A000012, A000295.

Formula

2*(A007318 * A097807) - A000012 as infinite lower triangular matrices.