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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; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| Row sums = A118930: (1, 1, 2, 4, 13, 41, 166,...).
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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.
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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;
...
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CROSSREFS
| Cf. A100861, A118930
Sequence in context: A124847 A127893 A127895 * A116412 A089511 A112692
Adjacent sequences: A152682 A152683 A152684 * A152686 A152687 A152688
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 10 2008
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