Values of L_n, the length of the longest increasing subsequence in 10^4 random permutations of {1, 2, ... , n} for n=9x10^3. There were 2 permutations for which L_n was 169, 4 for which it was 170, and so forth. 2 169 4 170 10 171 32 172 54 173 114 174 177 175 319 176 447 177 636 178 809 179 913 180 1047 181 1037 182 927 183 848 184 729 185 582 186 451 187 296 188 209 189 144 190 99 191 49 192 34 193 18 194 8 195 2 196 1 197 2 201