The Amelia Sequence (in full)

The Amelia Sequence (known as The God Sequence by members of Aster Corps) is an unfinished work by Arthur Teller, which Jake Bohm is gradually piecing together. It is named after Teller's first patient to discover the sequence, Amelia Robbins. I found it difficult to find the whole sequence in full, so I've put it on here:

318, 5296, 3287, 95, 22, 975, 6, 1188, [5191], 1604, 55124, 2545, 2217, 4370, 2, 4, 5227, 5, 0, 0, 1075, 5991, 8877, 29, 892, 10, 26, 2000, 0175, 948, 20131026, 3021, 5, 3, 74977318...

Please note:
	Items listed in [square brackets] are not part of the sequence, but used to calculate the next term.
	After the final term in the sequence (74977318), the whole sequence is repeated again and again, starting from 318.
	Rumour has it that the very first term in the sequence is an 'initialising term' and that the next number is, of course, 318.
	The exact value of this first term is unknown, but suggestions have been made, including: 182, 94861, 12, and many others.
	This sequence is completely fictional and thus doesn't have any relation to current affairs or occurrences.