"Fibonacci in digits - up and down": start with a(1)=1, a(2)=1; repeatedly adjoin either the sum of the two previous terms (if that sum happens to be even) or else adjoin digits of the sum of previous two terms (if that sum happens to be odd).
1, 1, 2, 3, 5, 8, 1, 3, 9, 4, 12, 1, 3, 16, 1, 3, 4, 1, 9, 1, 7, 4, 7, 5, 10, 10, 8, 1, 1, 1, 1, 12
1 seqfan posts
Sat Mar 20 12:47:27 CET 2010 [seqfan] Re: %N A093086:some confusion(?)