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A076482
Triangle with T(n,k)=n!*(k-1)^k/k! where 1<=k<=n.
2
0, 0, 1, 0, 3, 8, 0, 12, 32, 81, 0, 60, 160, 405, 1024, 0, 360, 960, 2430, 6144, 15625, 0, 2520, 6720, 17010, 43008, 109375, 279936, 0, 20160, 53760, 136080, 344064, 875000, 2239488, 5764801, 0, 181440, 483840, 1224720, 3096576, 7875000, 20155392, 51883209, 134217728
OFFSET
1,5
LINKS
FORMULA
T(n,k) = n*T(n, k-1) = A007778(k-1)*A008279(n,n-k) starting with T(n,n) = (n-1)^n = A007778(n-1).
EXAMPLE
Rows start
0;
0, 1;
0, 3, 8;
0, 12, 32, 81;
0, 60, 160, 405, 1024;
0, 360, 960, 2430, 6144, 15625;
...
MATHEMATICA
Table[n! (k-1)^k/k!, {n, 0, 10}, {k, n}]//Flatten (* Harvey P. Dale, Nov 28 2019 *)
CROSSREFS
Row sums are A076483.
Sequence in context: A112255 A197417 A085995 * A225802 A156827 A330963
KEYWORD
nonn,tabl
AUTHOR
Henry Bottomley, Oct 14 2002
STATUS
approved