Enumeration of permutations of {1, ..., n} with n = 15 by values of L_n, the length of the longest increasing subsequence. There is 1 permutation with L_n = 1, 9694844 with L_n = 2, etc. 1:1 2:9694844 3:8017098273 4:164161815768 5:485534447114 6:434119587475 7:172912977525 8:37558353900 9:4927007100 10:410474625 11:22128576 12:766221 13:16381 14:196 15:1