[seqfan] Re: A000120(n)=A000120(n*b) and A000120(b)=A000120(n*b)

Thomas Scheuerle ts181 at mail.ru
Fri Jan 1 14:50:12 CET 2021


At first I wand to wish everybody a sucessful and happy 2021 !
 
> Of course, all terms are odd.  Does it contain every odd number?
Thank you for this interesting question.

To learn about this I calculated for odd numbers the first values of n where we find it
in A292849:
1,3,13,5,57,35,1,9,241,219,49,45,169,83,73,17,993,59,941,53,3197,51,185,
93,209,81,349,85,41,89,105,33,4033,491,4749,247,449,227,429,363,3249,401,
193,259,233,107,117,189,697249,1355,173,517,473,1091,101,231,725,305,289,
483,237,371,469,65,16257,20011,493,243

I noticed tht there are most numbers prime or have not many factors:

I am not experienced. Is that in range of normality, or is it something worth deeper investigation ?

     1
     3
    13
     5
     3    19
     5     7
     3     7
     3     3
   241
     3    73
     7     7
     3     3     5
    13    13
    83
    73
    17
     3   331
    59
   941
    53
   23   139
    3    17
    5    37
    3    31
   11    19
   3     3     3     3
 349
   5    17
  41
    89
     3     5     7
     3    11
    37   109
   491
    3        1583
    13    19
   449
   227
     3    11    13
     3    11    11
     3     3    19    19
   401
   193
     7    37
  233
  107
    3     3    13
    3     3     3     7
   7       99607
    5   271
  173
   11    47
   11    43
 1091
  101
    3     7    11
     5     5    29
     5    61
    17    17
     3     7    23
     3    79
     7    53
     7    67
     5    13
     3        5419
     20011
    17    29
     3     3     3     3     3



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