In a number sequence, 1, 13, 169 and 2014 are respectively the first four terms of the sequence. The next terms are equal to the sum of the four numbers that precede them. For example, the fifth term of this sequence is 1+13+169+2014=2197. How many digits does the 2014th term have?
If needed, we can use 0.285 for log(1.928) and 0.942 for log(8.748).