Triangular array read by rows: T(n,k) is the number of forests of rooted labeled trees such that the vertex labeled with 1 is in a component (rooted tree) of size k, n>=1, 1<=k<=n.

A232055

Triangular array read by rows: T(n,k) is the number of forests of rooted labeled trees such that the vertex labeled with 1 is in a component (rooted tree) of size k, n>=1, 1<=k<=n.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =4a(5) =9a(6) =16a(7) =18a(8) =27a(9) =64a(10) =125a(11) =128a(12) =162a(13) =256a(14) =625a(15) =1296a(16) =1250a(17) =1440a(18) =1920a(19) =3125a(20) =7776a(21) =16807a(22) =15552a(23) =16875a(24) =20480a(25) =28125a(26) =46656a(27) =117649a(28) =262144a(29) =235298

External references