A152195 Triangle read by rows, A000012 * A152194.

1, 2, 4, 1, 8, 4, 16, 11, 1, 32, 26, 6, 64, 57, 22, 1, 128, 120, 64, 8, 256, 247, 163, 37, 1, 512, 502, 382, 130, 10, 1024, 1013, 848, 386, 56, 1, 2048, 2036, 1816, 1024, 232, 12, 4096, 4083, 3797, 2510, 794, 79, 1

Offset: 0

Author

Gary W. Adamson, Nov 28 2008

Keywords

• nonn
• tabl

Comments

Row sums = A045623: (1, 2, 5, 12, 28, 64, 144,...).

Examples

			First few rows of the triangle =
1;
2;
4, 1;
8, 4;
16, 11, 1;
32, 26, 6;
64, 57, 22, 1;
128, 120, 64, 8,
256, 247, 163, 37, 1;
512, 502, 382, 130, 10;
1024, 1013, 848, 386, 56, 1;
2048, 2036, 1816, 1024, 232, 12;
4096, 4083, 3797, 2510, 794, 79, 1;
...
		

Crossrefs

A152194, A045623

Formula

Triangle read by rows, A000012 * A152194; A000012 = an infinite lower triangular matrix with all 1's. The operation performs partial sums of A152194 column terms.

Equals binomial transform of [1; 1; 1,1; 1,1; 1,1,1; 1,1,1;...], (an infinite lower triangular matrix with one 1 in two rows, two 1's in two rows, three 1's in two rows, etc...).