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A143327 Table T(n,k) by antidiagonals. T(n,k) is the number of primitive (=aperiodic) k-ary words (n,k >= 1) with length less than or equal to n which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet.

Table of values

n a(n)
1 1
2 1
3 1
4 1
5 2
6 1
7 1
8 3
9 5
10 1
11 1
12 4
13 11
14 11
15 1
16 1
17 5
18 19
19 35
20 26
21 1
22 1
23 6
24 29
25 79
26 115
27 53
28 1
29 1
30 7
31 41
32 149
33 334
34 347
35 116
36 1
37 1
38 8
39 55
40 251
41 773
42 1339
43 1075
44 236
45 1
46 1
47 9
48 71
49 391
50 1546
51 3869
52 5434
53 3235
54 488
55 1
56 1
57 10
58 89
59 575
60 2791
61 9281
62 19493
63 21754
64 9787
65 983
66 1
67 1
68 11

List of values

[1, 1, 1, 1, 2, 1, 1, 3, 5, 1, 1, 4, 11, 11, 1, 1, 5, 19, 35, 26, 1, 1, 6, 29, 79, 115, 53, 1, 1, 7, 41, 149, 334, 347, 116, 1, 1, 8, 55, 251, 773, 1339, 1075, 236, 1, 1, 9, 71, 391, 1546, 3869, 5434, 3235, 488, 1, 1, 10, 89, 575, 2791, 9281, 19493, 21754, 9787, 983, 1, 1, 11]