Prime power decomposition of A371630(n), n = 1..56.
Michael Thomas De Vlieger, St. Louis, Missouri 2024 0605 1830.

Represents all terms that do not exceed 2^27 = 134217728.

Table of a(n) and A371634(n) = b(n) for n = 1..20. Asterisks in the a(n) column denote squarefree terms while "+" denotes numbers not in A055932 (i.e., in A080259). The A067255 column notes exponents of prime power factors p(i)^m(i), where p(i) is the i-th prime, using "." in place of zero. For example, k = 84 = 2^2 * 3 * 7 is written "21.1".

 n        a(n) A067255(a(n)) d(n)-f(n) = b(n)
---------------------------------------------
 1           1*  .             1 -   1 =   0
 2           2*  1             2 -   1 =   1
 3           6*  11            4 -   1 =   3
 4          12   21            6 -   2 =   4
 5          30*  111           8 -   1 =   7
 6          60   211          12 -   2 =  10
 7         120   311          16 -   4 =  12
 8         210*  1111         16 -   1 =  15
 9         420   2111         24 -   2 =  22
10         840   3111         32 -   4 =  28
11        1260   2211         36 -   6 =  30
12        1680   4111         40 -   8 =  32
13        2520   3211         48 -  11 =  37
14        4620   21111        48 -   2 =  46
15        9240   31111        64 -   4 =  60
16       13860   22111        72 -   6 =  66
17       18480   41111        80 -   8 =  72
18       27720   32111        96 -  12 =  84
19       32760   3211.1       96 -  11 =  85
20       55440   42111       120 -  20 = 100
21       65520   4211.1      120 -  19 = 101
22      102960   421.11      120 -  18 = 102
23      110880   52111       144 -  33 = 111
24      120120   311111      128 -   4 = 124
25      180180   221111      144 -   6 = 138
26      240240   411111      160 -   8 = 152
27      360360   321111      192 -  12 = 180
28      556920   3211.11     192 -  11 = 181
29      720720   421111      240 -  21 = 219
30     1081080   331111      256 -  30 = 226
31     1441440   521111      288 -  36 = 252
32     1884960   52111.1     288 -  35 = 253
33     2162160   431111      320 -  49 = 271
34     2827440   43111.1     320 -  48 = 272
35     2882880   621111      336 -  59 = 277
36     3063060   2211111     288 -   6 = 282
37     3603600   422111      360 -  69 = 291
38     4084080   4111111     320 -   8 = 312
39     6126120   3211111     384 -  12 = 372
40    10581480   3211.111    384 -  11 = 373
41    12252240   4211111     480 -  22 = 458
42    18378360   3311111     512 -  32 = 480
43    20540520   331111.1    512 -  31 = 481
44    24504480   5211111     576 -  38 = 538
45    35814240   52111.11    576 -  37 = 539
46    36756720   4311111     640 -  53 = 587
47    41081040   431111.1    640 -  52 = 588
48    49008960   6211111     672 -  64 = 608
49    61261200   4221111     720 -  76 = 644
50    68468400   422111.1    720 -  75 = 645
51    73513440   5311111     768 -  87 = 681
52    82162080   531111.1    768 -  86 = 682
53    99459360   531111..1   768 -  85 = 683
54   107442720   53111.11    768 -  83 = 685
55   110270160   4411111     800 - 113 = 687
56   116396280   32111111    768 -  12 = 756