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A152685
Triangle read by rows, A100861(n,k) * A118930(k).
2
1, 1, 1, 1, 1, 3, 1, 6, 6, 1, 10, 30, 1, 15, 90, 60, 1, 21, 210, 420, 1, 18, 420, 1680, 1365, 1, 36, 756, 5040, 12285, 1, 45, 1260, 12600, 61425, 38745, 1, 55, 1980, 27720, 225225, 426195, 1, 66, 2970, 55440, 675675, 2557170, 1725570, 1, 78, 4290
OFFSET
0,6
FORMULA
Triangle read by rows, A100861 * (A118930 * n^(n-k)) = M*Q. M = A100861 as an infinite lower triangular matrix and Q = a matrix with A118930 as the main diagonal and the rest zeros.
EXAMPLE
First few rows of the triangle =
1;
1;
1, 1;
1, 3;
1, 6, 6;
1, 10, 30;
1, 15, 90, 60;
1, 21, 210, 420;
1, 28, 420, 1680, 1365;
1, 36, 756, 5040, 12285;
1, 45, 1260, 12600, 61425, 38745;
1, 55, 1980, 27720, 225225, 426195;
...
MAPLE
A152685 := proc(n, k)
A100861(n, k)*A118930(k) ;
end proc:
seq(seq(A152685(n, k), k=0..n/2), n=0..13) ; # R. J. Mathar, Aug 19 2014
CROSSREFS
Cf. A100861, A118930 (row sums)
Sequence in context: A127895 A325005 A325013 * A210287 A116412 A089511
KEYWORD
nonn,tabf
AUTHOR
Gary W. Adamson, Dec 10 2008
STATUS
approved