f(x) = ( f([x/2]) + f([x/3]) ) / 2

[zak seidov]

Max, Roger, SeqFans,
what's known about 
f(x) = p_1*f([x/q_1]) + ... + p_k*f([x/q_k])
in cases of (some)  q_i<1?
I refer to A119565.
Thanks, Zak

--- Max <maxale at gmail.com> wrote:

<skip> 
> This problem can be easily generalized (and produce
> more sequences).
> For example, we can can consider a function defined
> by
> f(x) = p_1*f([x/q_1]) + ... + p_k*f([x/q_k])
> where p_i are positive rationals with p_1+...+p_k=1
> and q_i are
> positive integers whose logarithms are
> incommensurable. E.g.:
> f(x)=(f([x/2])+f([x/3])+f([x/5]))/3 etc. etc.
> 
> Max
> 



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