Values of L_n, the length of the longest increasing subsequence in 10^4 random permutations of {1, 2, ... , n} for n=3x10^3. There was 1 permutation for which L_n was 91, 3 for which it was 92, and so forth. 1 91 3 92 2 93 6 94 27 95 67 96 166 97 337 98 521 99 804 100 1001 101 1161 102 1281 103 1142 104 1059 105 844 106 571 107 393 108 264 109 161 110 86 111 53 112 26 113 9 114 7 115 6 116 2 117