What follows in this sequence?

1, 2, 3, 3, 2, 3, 4, 5, 3, 2, 3, 4, 5, 5, 4, 5, 6, 7, 5, 4, 5, ...

(In reply to A more Cesarean solution by Paul)

Given that the title is Latin, which I had realised, I failed to make the association between Latin and Roman numerals.

While the explanations offered by Nosher, efflixi and myself hold up in describing the sequence as we have interpreted, I have to admit that when taking the title into consideration our explanation will not fully describe the  Roman numerals; the 50th term in my explanation would be a  10, but L has 2  strokes.

It is a bit like the sequence 1, 2, 4 ......
Without additional information this could be 1, 2, 4, 8, 16, .... 
or 1, 2, 4, 7, 11, 16, ......

Posted by brianjn on 2005-08-06 01:52:25