0,2

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

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...).

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;

...

A152194, A045623

Sequence in context: A112931 A121685 A125810 this_sequence A133156 A127529 A091977

Adjacent sequences: A152192 A152193 A152194 this_sequence A152196 A152197 A152198

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 28 2008