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A152685 Triangle read by rows, A100861 * (A118930 * n^(n-k)) +0
1
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 (list; table; graph; listen)
OFFSET

0,6

COMMENT

Row sums = A118930: (1, 1, 2, 4, 13, 41, 166,...).

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;

...

CROSSREFS

Cf. A100861, A118930

Sequence in context: A124847 A127893 A127895 this_sequence A116412 A089511 A112692

Adjacent sequences: A152682 A152683 A152684 this_sequence A152686 A152687 A152688

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 10 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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