function ytb_num = ytb_enum ( n ) %*****************************************************************************80 % %% YTB_ENUM enumerates the Young tableaus of size N. % % Discussion: % % If A(N) is the number of Young tableau of size N, then A(1) = 1, % A(2) = 2, and % % A(N) = A(N-1) + (N-1) * A(N-2). % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 12 June 2004 % % Author: % % John Burkardt % % Parameters: % % Input, integer N, the integer which is to be partitioned. % % Output, integer YTB_NUM, the number of Young tableaus of N. % if ( n <= 0 ) ytb_num = 0; elseif ( n == 1 ) ytb_num = 1; elseif ( n == 2 ) ytb_num = 2; else a2 = 1; a3 = 2; for i = 3 : n a1 = a2; a2 = a3; a3 = a2 + ( i - 1 ) * a1; end ytb_num = a3; end return end