Explain the number sequence and predict the next 6 numbers

Question

Given the number sequence

0,1,4,9,0,1,9,1,4,2,1,3,0,4,1,5,4,6,9,7,0,9,9,a,4,?,?,?,?,?,?

the challenge is to

1. Determine the value represented by a
2. Predict the next 6 entries represented by ?

Note that

• This number sequence does not appear in the online encyclopaedia of integer sequences
• If necessary hints will be added in due course.

Answer 1

The rule of the sequence is:

Write each square number in hexadecimal and reverse it.

Example & Answer:

0 = 0
1 = 1
4 = 4
9 = 9
16 = 0, 1
25 = 9, 1
36 = 4, 2
49 = 1, 3
64 = 0, 4
81 = 1, 5
100 = 4, 6
121 = 9, 7
144 = 0, 9
169 = 9, a (a represents 10 in hexadecimal)
196 = 4, c
225 = 1, e
256 = 0, 0, 1