Triangular array read by rows. T(n,k) is the number of partial functions on n labeled objects in which the domain of definition contains exactly k elements such that for all i in {1,2,3,...}, (f^i)(x) is defined.

A185390

Triangular array read by rows. T(n,k) is the number of partial functions on n labeled objects in which the domain of definition contains exactly k elements such that for all i in {1,2,3,...}, (f^i)(x) is defined.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =2a(5) =4a(6) =16a(7) =9a(8) =12a(9) =27a(10) =125a(11) =64a(12) =72a(13) =108a(14) =256a(15) =1296a(16) =625a(17) =640a(18) =810a(19) =1280a(20) =3125a(21) =16807a(22) =7776a(23) =7500a(24) =8640a(25) =11520a(26) =18750a(27) =46656a(28) =262144a(29) =117649

External references