OFFSET
2,1
COMMENTS
Number of partitions of {1,..,n} into k lists of size >1, where a list means an ordered subset, cf. A008297.
FORMULA
T(n, k) = n!/k!*binomial(n-k-1, k-1), n>=2, k=1..floor(n/2). G.f.: G.f.: Sum_{n>=2, k=1..floor(n/2)} T(n, k)*x^n*y^k/n! = exp(x^2*y/(1-x))-1.
EXAMPLE
2; 6; 24, 12; 120,120; 720,1080,120; 5040,10080, 2520; ...
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Vladeta Jovovic, Vladimir Baltic, Oct 31 2002
STATUS
approved