A168533 Triangle read by rows, A000012 * A168532, as infinite lower triangular matrices.

1, 2, 1, 4, 1, 1, 7, 2, 1, 1, 13, 2, 1, 1, 1, 20, 4, 2, 1, 1, 1, 34, 4, 2, 1, 1, 1, 1, 51, 7, 2, 2, 1, 1, 1, 1, 78, 7, 4, 2, 1, 1, 1, 1, 1, 112, 13, 4, 2, 2, 2, 21, 1, 1, 167, 13, 4, 2, 2, 1, 1, 1, 1, 1, 1, 230, 20, 7, 4, 2, 2, 21, 1, 1, 1, 1, 1

Offset: 1

Author

Gary W. Adamson, Nov 28 2009

Keywords

• nonn
• tabl

Comments

Row sums = A026905: (1, 3, 6, 11, 18, 29, 44, 66,...)

Triangle A168534 = A168532 * A000012

Examples

			First few rows of the triangle =
1;
2, 1;
4, 1, 1;
7, 2, 1, 1;
13, 2, 1, 1, 1;
20, 4, 2, 1, 1, 1;
34, 4, 2, 1, 1, 1, 1;
51, 7, 2, 2, 1, 1, 1, 1;
78, 7, 4, 2, 1, 1, 1, 1, 1;
112, 13, 4, 2, 2, 1, 1, 1, 1, 1;
167, 13, 4, 2, 2, 1, 1, 1, 1, 1, 1;
230, 20, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1;
330, 20, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1;
449, 34, 7, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1;
616, 34, 13, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1;
825, 51, 13, 7, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1;
1121, 51, 13, 7, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1;
		

Crossrefs

Cf. A168532, A026905, A168534

Formula

Triangle read by rows, A000012 * A168532; where A000012 = an infinite lower

triangular matrix with all 1's. The operation takes partial sums of A168532

column terms.