A152685 Triangle read by rows, A100861(n,k) * A118930(k).

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

Links

Table of n, a(n) for n=0..51.

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

Adjacent sequences: A152682 A152683 A152684 * A152686 A152687 A152688

Keyword

nonn,tabf

Author

Gary W. Adamson, Dec 10 2008

Status

approved