Feel free to have a guess via the comments. I will give the answer next week.
This is not a trick question; the sequence is based on a genuine mathematical rule. A word of warning though, although it does not require any complex mathematical knowledge the solution is pretty obscure.
SOLUTION NOW AVAILABLE: CLICK HERE
“…if it exists at all”
That wording seems important.
Indeed.
I do not know whether there are any more terms in the sequence. I suspect not.
I have been unable to put together anything even after making the connection that logarithms of base 1 do not exist.
You’re certainly heading in the right direction.
Apologies for not getting the solution up yet. Other commitments got in the way (along with obsession with the election coverage). Will post it as soon as I can.