[seqfan] A000120(n)=A000120(n*b) and A000120(b)=A000120(n*b)
Thomas Scheuerle
ts181 at mail.ru
Wed Dec 30 10:03:32 CET 2020
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.
--
Thomas Scheuerle <ts181 at mail.ru>
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