Hi, so I have a sequence with a rule in recursive form, and I need to find a simple expression for the sequence that is not recursive, which I am having a hard time doing, even though it feels it shouldn't be giving me as much trouble as it is

.

Find a simple (non-recursive) expression for the sequence;

and

for

.

I can't seem to find a pattern here that I could write non-recursively, the terms I found are

,

,

,

,

,

, ....

Anyone got any tips about what to look for in this sequence? I'm not sure what I'm missing to not see this one non-recusively. Thanks!