Values of L_n, the length of the longest increasing subsequence in 10^4 random permutations of {1, 2, ... , n} for n=8x10^2. There was 1 permutation for which L_n was 43, 4 for which it was 44, and so forth. 1 43 4 44 27 45 98 46 257 47 576 48 1024 49 1362 50 1560 51 1577 52 1244 53 900 54 640 55 365 56 198 57 95 58 47 59 19 60 1 61 4 62 1 63