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A177446
Triangle read by rows: A000012 * A177444 * the diagonalized variant of A120562.
1
1, 2, 0, 2, 1, 0, 3, 2, 0, 0, 3, 2, 1, 0, 0, 3, 3, 2, 0, 0, 0, 3, 3, 2, 2, 0, 0, 0, 3, 3, 3, 4, 0, 0, 0, 0, 3, 3, 3, 4, 1, 0, 0, 0, 0, 3, 3, 3, 6, 2, 0, 0, 0, 0, 0, 3, 3, 3, 6, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 6, 3, 4, 0, 0, 0, 0, 0, 0, 3, 3, 3, 6, 3, 4, 2, 0, 0, 0, 0, 0, 0
OFFSET
0,2
COMMENTS
Row sums = A177445. Rows apparently tend to 3 * A120562 = 3 * (1, 1, 1, 2, 1, 2, 2, 3, 1, 3, ...).
FORMULA
Triangle read by rows, M*Q*R; such that M = an infinite lower triangular matrix with all 1's, Q = triangle A177444, and R = the diagonalized variant of A120562 (A120562 in the diagonal and the rest zeros).
EXAMPLE
First few rows of the triangle =
1;
2, 0;
2, 1, 0;
3, 2, 0, 0;
3, 2, 1, 0, 0;
3, 3, 2, 0, 0, 0;
3, 3, 2, 2, 0, 0, 0;
3, 3, 3, 4, 0, 0, 0, 0;
3, 3, 3, 4, 1, 0, 0, 0, 0;
3, 3, 3, 6, 2, 0, 0, 0, 0, 0;
3, 3, 3, 6, 2, 2, 0, 0, 0, 0, 0;
3, 3, 3, 6, 3, 4, 0, 0, 0, 0, 0, 0;
3, 3, 3, 6, 3, 4, 2, 0, 0, 0, 0, 0, 0;
3, 3, 3, 6, 3, 6, 4, 0, 0, 0, 0, 0, 0, 0;
3, 3, 3, 6, 3, 6, 4, 3, 0, 0, 0, 0, 0, 0, 0;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, May 08 2010
EXTENSIONS
Definition corrected by Georg Fischer, May 31 2023
STATUS
approved