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A166240
Triangle read by rows, A000012 * A152140 as infinite lower triangular matrices.
1
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, 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, 6, 9, 11, 7, 7, 4, 4, 2, 2, 1, 1
OFFSET
1,8
COMMENTS
Row sums = A036469, (partial sums of A000009).
The triangle = partial sums of A152140 starting from the top down, by columns.
FORMULA
Triangle read by rows, A000012 * A152140, where A000012 = an infinite lower triangular matrix with all 1's: [1; 1,1; 1,1,1;...].
EXAMPLE
First few rows of the triangle =
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, 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, 6, 9, 11, 7, 7, 4, 4, 2, 2, 1, 1;
1, 6, 12, 11, 12, 7, 7, 4, 4, 2, 2, 1, 1;
1, 7, 12, 16, 12, 12, 7, 7, 4, 4, 2, 2, 1, 1;
1, 7, 16, 16, 18, 12, 12, 7, 7, 4, 4, 2, 2, 1, 1;
1, 8, 16, 23, 18, 19, 12, 19, 7, 7, 4, 4, 2, 2, 1, 1;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Oct 09 2009
STATUS
approved