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A153188
Triangle read by rows: T(n,k) = n^k * k!.
0
1, 1, 1, 1, 2, 8, 1, 3, 18, 162, 1, 4, 32, 384, 6144, 1, 5, 50, 750, 15000, 375000, 1, 6, 72, 1296, 31104, 933120, 33592320, 1, 7, 98, 2058, 57624, 2016840, 84707280, 4150656720, 1, 8, 128, 3072, 98304, 3932160, 188743680, 10569646080, 676457349120
OFFSET
0,5
FORMULA
T(n,k) = Product_{j=1..n} n*j.
EXAMPLE
Triangle T(n,k) begins:
1;
1, 1;
1, 2, 8;
1, 3, 18, 162;
1, 4, 32, 384, 6144;
1, 5, 50, 750, 15000, 375000;
1, 6, 72, 1296, 31104, 933120, 33592320;
1, 7, 98, 2058, 57624, 2016840, 84707280, 4150656720;
...
MATHEMATICA
t[n_, m_] =Product[m*k, {k, 1, n}];
Table[Table[t[n, m], {n, 1, m}], {m, 1, 10}];
Flatten[%]
CROSSREFS
Main diagonal gives A061711.
Row sums give A368561.
Sequence in context: A200689 A143198 A100064 * A352589 A275980 A343918
KEYWORD
nonn,tabl
AUTHOR
Roger L. Bagula, Dec 20 2008
EXTENSIONS
Formula corrected by Georg Fischer, Oct 24 2024
STATUS
approved