[seqfan] A question and a sequence connected with A098550

[Vladimir Shevelev]

Let a(n)=A098550(n). Consider sequence b(n)=a(k-1)/a(k) such that a(k)=
prime(n), n>=3. I get (using table in A098550): 3,5,2,3,3,2,3,3,2,2,3,2,2,2,2,2,3,
2,2,2,3,2,3,... On this stage I thougt that, except for a(4)=5, it is a (2,3)-sequence
(the last 3 corresponds to n=25, prime(n)=97). But I was surprised that further
up to n=57 I get only 2's (!) How to explain such a phenomena?
Besides, I have just submitted a Fibonacci-like sequence A249357 which is
constructed on a rule in the definition of A098550.

Best regards,
Vladimir