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

[israel at math.ubc.ca]

Yes, certainly there could be some interesting sequences here.  
Please do submit some.
Along these lines, you might consider a(n) the least x
such that A000120(n*x) = A000120(x).  This sequence starts
1, 1, 3, 1, 7, 3, 7, 1, 15, 7, 3, 3, 5, 7, 15, 1, 31, 15, 7, 7.
Of course, all terms are odd.  Does it contain every odd number?

Cheers,
Robert


On Dec 30 2020, Thomas Scheuerle via SeqFan wrote:

>Hello,
>
>I noticed that OEIS has today only solutions for:
>A263132 numbers such that A000120(3)=A000120(3*n) and
>A077459 numbers such that A000120(n)=A000120(3*n).
>
>Personaly I think values for odd b and prime numbers are interesting.
>What is your opinion ?
>
>Maybe in case of A000120(b)=A000120(n*b)
>values such that A000120(b)= 2 are less interesting, 
>as this can be more easily calculated than other cases.
>
> "In equations of the form A000120(c)=A000120(c*b) for all A000120(c)=2 we 
> find all solutions for b as b=0, b=2^d or 
> b=(2^d)*(1+2^(((c-1)/2)+e*(c-1)))/c, if c is odd. For even c divide c by 
> biggest possible power of two. An example for c=3 is b=A263132."
>
>best regards.
>