Values of L_n, the length of the longest increasing subsequence in 10^4 random permutations of {1, 2, ... , n} for n=2x10^4. There were 3 permutations for which L_n was 260, 8 for which it was 261, and so forth. 3 260 8 261 10 262 24 263 76 264 96 265 189 266 262 267 378 268 494 269 652 270 720 271 857 272 848 273 859 274 861 275 738 276 677 277 550 278 463 279 372 280 276 281 201 282 112 283 105 284 70 285 32 286 24 287 19 288 12 289 8 290 3 291 1 292