a(1) = 0 (as Fibonacci(0) = 0 is the smallest Fibonacci number).
a(2) = 10 (Fibonacci(10) = 55 is the only 2-digit Fibonacci number that is palindromic, and almost certainly the only multidigit palindromic Fibonacci number; see A045504).
a(3) = 317 because Fibonacci(317) (a 66-digit number) is the smallest Fibonacci number whose first 3 digits (793) are the reverse of its last 3 digits (397).
The table below lists the first 8 terms and the corresponding Fibonacci numbers (abbreviated, for n > 2):
.
n a(n) Fibonacci(a(n))
- --------- -------------------
1 0 0
2 10 55
3 317 793...397
4 1235 5626...6265
5 28898 94480...08449
6 120742 172255...552271
7 1411753 3789665...5669873
8 201095722 11367389...98376311
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