[go: up one dir, main page]

login
A153198
Triangle read by rows, T(n,k) = A006789(k) if (n=k) otherwise zero. = (A006789 * 0^(n-k))
4
1, 0, 1, 0, 0, 2, 0, 0, 0, 5, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, 0, 143, 0, 0, 0, 0, 0, 0, 0, 509, 0, 0, 0, 0, 0, 0, 0, 0, 1922
OFFSET
0,6
COMMENTS
Binomial transform of A153198 = triangle A153199 with row sums = A153197: (1, 2, 5, 15, 51, 189, 748,...).
FORMULA
Triangle read by rows, T(n,k) = (A006789 * 0^(n-k)). Infinite lower triangular matrix with A006789: (1, 1, 2, 5, 14, 43, 143,...) as the main diagonal and the rest zeros.
EXAMPLE
First few rows of the triangle =
1;
0, 1;
0, 0, 2;
0, 0, 0, 5;
0, 0, 0, 0, 14;
0, 0, 0, 0, 0, 43;
0, 0, 0, 0, 0, 0, 143;
0, 0, 0, 0, 0, 0, 0, 509;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Dec 20 2008
STATUS
approved