An amazing variant imho is
f(n) = 2 f(n-1) + f(n/2)
where n/2 in rounded below.
the sequence starts like 1,2,5,12.
Amazingly f(9) = 2^9.
We get similar properties.
The first , second and third differences are fascinatingly linked.
I will try to illustrate some things with an attachement.
regards
tommy1729
f(n) = 2 f(n-1) + f(n/2)
where n/2 in rounded below.
the sequence starts like 1,2,5,12.
Amazingly f(9) = 2^9.
We get similar properties.
The first , second and third differences are fascinatingly linked.
I will try to illustrate some things with an attachement.
regards
tommy1729