Number of divisor chains beginning with 1 through k for 1 <= k <= 24

[Eugene McDonnell]

I believe these are the number of divisor chains beginning with 1 
through k for 1 <= k <= 24:

  k
  1  1
  2  0 1
  3  0 1 1
  4  0 0 1 1
  5  0 0 1 2 1
  6  0 0 0 2 2 1
  7  0 0 0 2 3 1 1
  8  0 0 0 0 1 0 1  5
  9  0 0 0 0 1 3 4 12  4
10  0 0 0 0 0 4 5  7  3   3
11  0 0 0 0 0 4 7  9  3   4  2
12  0 0 0 1 0 0 2  5  4   8 11   8
13  0 0 0 1 0 0 2  7 11  12 19  11   4
14  0 0 0 0 0 0 0  4 12   4 14   7   8   6
15  0 0 0 1 0 2 3 14 32  42 64  41  77  63  47
16  0 0 0 1 0 0 0  0 16  34 39  26  20  24  31   44
17  0 0 0 1 0 0 0  0 16  44 55  27  34  31  42   56    6
18  0 0 0 0 0 2 3  2  2  21 13  20  19  31  51   70   76  37
19  0 0 0 0 0 4 3  3  7  21 17  24  25  34  54   91  113  49   6
20  0 0 0 0 0 2 0  8 17  12 31  41  43  91  60  121  223 144 360  166
21  0 0 0 0 0 7 0 20 31  26 57 197 314 383 283  706  938 473 969  454  
462
22  0 0 0 0 0 6 0 17 18  21  0 124 131 220 148  445  538 232 443  222  
423  232
23  0 0 0 0 0 6 0 17 22  29  9 138 164 279 188  520  640 309 616  302  
521  357  372
24  0 0 0 6 0 6 0 44 76 219 86 155 314 545 389 1354 1296 819 727 1246 
1959 2619 6247 2130

Eugene McDonnell

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