A152195 - OEIS

%I #5 Jun 02 2013 05:30:15

%S 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,

%T 512,502,382,130,10,1024,1013,848,386,56,1,2048,2036,1816,1024,232,12,

%U 4096,4083,3797,2510,794,79,1

%N Triangle read by rows, A000012 * A152194

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

%F 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.

%F 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...).

%e First few rows of the triangle =

%e 1;

%e 2;

%e 4, 1;

%e 8, 4;

%e 16, 11, 1;

%e 32, 26, 6;

%e 64, 57, 22, 1;

%e 128, 120, 64, 8,

%e 256, 247, 163, 37, 1;

%e 512, 502, 382, 130, 10;

%e 1024, 1013, 848, 386, 56, 1;

%e 2048, 2036, 1816, 1024, 232, 12;

%e 4096, 4083, 3797, 2510, 794, 79, 1;

%e ...

%Y A152194, A045623

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, Nov 28 2008