A153869 Triangle read by rows, A129186 * A128064(unsigned).

1, 1, 0, 1, 2, 0, 0, 2, 3, 0, 0, 0, 3, 4, 0, 0, 0, 0, 4, 5, 0, 0, 0, 0, 0, 5, 6, 0, 0, 0, 0, 0, 0, 6, 7, 0, 0, 0, 0, 0, 0, 0, 7, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 9, 0

Offset: 1

Author

Gary W. Adamson, Jan 03 2009

Keywords

• nonn
• tabl

Comments

Lim_{k->inf} A153869^n = A000255: (1, 1, 3, 11, 53, 309, 2119,...).

Row sums = (1, 1, 3, 5, 7, 9,...).

A153869 * (1, 2, 3,...) = A001844 prefaced with a 1: (1, 1, 5, 13, 25, 41,...).

Examples

			First few rows of the triangle =
1;
1, 0;
1, 2, 0;
0, 2, 3, 0;
0, 0, 3, 4, 0;
0, 0, 0, 4, 5, 0;
0, 0, 0, 0, 5, 6, 0;
0, 0, 0, 0, 0, 6, 7, 0;
0, 0, 0, 0, 0, 0, 7, 8, 0;
...
		

Crossrefs

Cf. A128064, A129186, A000255, A001844

Formula

Triangle read by rows, A129186 * A128064; where A129186 = a shift operator, shifting down triangle A128064(unsigned) one row and inserting a "1" at (1,1).