OFFSET
1,3
COMMENTS
REFERENCES
Miklos Bona, Introduction to Enumerative Combinatorics, McGraw Hill, 2007, page 282.
FORMULA
T(n,k) = binomial(n-1,k-1)*k^(k-1)*(n-k+1)^(n-k-1).
EXAMPLE
1;
1, 2;
3, 4, 9;
16, 18, 27, 64;
125, 128, 162, 256, 625;
1296, 1250, 1440, 1920, 3125, 7776;
MATHEMATICA
Table[Table[Binomial[n, k](k+1)(k+1)^(k-1)(n-k+1)^(n-k-1), {k, 0, n}], {n, 0, 7}]//Grid
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Geoffrey Critzer, Nov 17 2013
STATUS
approved