A140183 Triangle read by rows, binomial transform of an infinite lower triangular matrix with (1,2,1,2,1,2,...) in the main diagonal, (1,1,1,...) in the subdiagonal and the rest zeros.

1, 2, 2, 3, 5, 1, 4, 9, 4, 2, 5, 14, 10, 9, 1, 6, 20, 20, 25, 6, 2, 7, 27, 35, 55, 21, 13, 1, 8, 35, 56, 105, 56, 49, 8, 2, 9, 44, 84, 182, 126, 140, 36, 17, 1, 10, 54, 120, 294, 252, 336, 120, 81, 10, 2, 1, 65, 165, 450, 462, 714, 330, 285, 55, 21, 1

Offset: 0

Author

Gary W. Adamson, May 11 2008

Keywords

• nonn
• tabl

Comments

Row sums = A052549: (1, 4, 9, 19, 39, 79,...).

Examples

			First few rows of the triangle are:
1;
2, 2;
3, 5, 1;
4, 9, 4, 2;
5, 14, 10, 9, 1;
6, 20, 20, 25, 6, 2;
7, 27, 35, 55, 21, 13, 1;
...
		

Crossrefs

Cf. A052549.

Formula

Triangle read by rows, A007318 as an infinite lower triangular matrix * a bidiagonal matrix with (1,2,1,2,1,2,...) in the main diagonal and (1,1,1,...) in the subdiagonal.