|
%I #3 Mar 30 2012 17:25:35
%S 1,1,1,1,1,1,1,2,1,1,1,2,2,1,1,1,3,2,2,1,1,1,3,4,2,2,1,1,1,4,4,4,2,2,
%T 1,1,1,1,4,6,4,4,2,2,1,1,1,5,6,7,4,4,2,2,1,1,1,5,9,7,7,4,4,2,2,1,1,1,
%U 6,9,11,7,7,4,4,2,2,1,1
%N Triangle read by rows, A000012 * A152140 as infinite lower triangular matrices.
%C Row sums = A036469, (partial sums of A000009).
%C The triangle = partial sums of A152140 starting from the top down, by columns.
%F Triangle read by rows, A000012 * A152140, where A000012 = an infinite lower triangular matrix with all 1's: [1; 1,1; 1,1,1;...].
%e First few rows of the triangle =
%e 1;
%e 1, 1;
%e 1, 1, 1;
%e 1, 2, 1, 1;
%e 1, 2, 2, 1, 1;
%e 1, 3, 2, 2, 1, 1;
%e 1, 3, 4, 2, 2, 1, 1;
%e 1, 4, 4, 4, 2, 2, 1, 1;
%e 1, 4, 6, 4, 4, 2, 2, 1, 1;
%e 1, 5, 6, 7, 4, 4, 2, 2, 1, 1;
%e 1, 5, 9, 7, 7, 4, 4, 2, 2, 1, 1;
%e 1, 6, 9, 11, 7, 7, 4, 4, 2, 2, 1, 1;
%e 1, 6, 12, 11, 12, 7, 7, 4, 4, 2, 2, 1, 1;
%e 1, 7, 12, 16, 12, 12, 7, 7, 4, 4, 2, 2, 1, 1;
%e 1, 7, 16, 16, 18, 12, 12, 7, 7, 4, 4, 2, 2, 1, 1;
%e 1, 8, 16, 23, 18, 19, 12, 19, 7, 7, 4, 4, 2, 2, 1, 1;
%e ...
%Y A152140, A036469, A000009
%K nonn,tabl
%O 1,8
%A _Gary W. Adamson_, Oct 09 2009
|
