Number of partitions of n into colored blocks of equal parts with colors from a set of size n.

Terms

a(0) =1a(1) =1a(2) =4a(3) =15a(4) =44a(5) =135a(6) =456a(7) =1239a(8) =3424a(9) =8694a(10) =27240a(11) =65846a(12) =171864a(13) =406133a(14) =960848a(15) =2615460a(16) =5998416a(17) =14304089a(18) =32273100a(19) =72271516a(20) =153768520a(21) =385905072a(22) =817485768a(23) =1841794483a(24) =3915726528a(25) =8388036950a(26) =17125197336a(27) =35051814558a(28) =78986793592a(29) =160176485813