%I #2 Oct 09 2013 14:17:20

%S 1,1,2,3,5,8,13,21,34,55,89,1,44,90,45,1,34,1,35,46,35,35,36,81,81,70,

%T 71,1,17,1,62,1,51,1,41,72,18,18,63,63,52,52,42,1,13,90,36,81,1,26,1,

%U 15,1,4,94,43,14,1,3,1,26,1,17,82,27,27,16,16,5,98,1,37,57,15,4,4,27,27,18

%N "Fibonacci in pairs": start with a(1)=1, a(2)=1; repeatedly adjoin sum of previous two terms but chopped from the right into pairs of 2 digits.

%C Do all pairs of digits appear infinitely often? The sequence is not periodic.

%e ... a(11)=a(9)+a(10), a(12)=left pair of (a(10)+a(11)=55+89=1 44), a(13)=right pair of (a(10)+a(11)=55+89=1 44), a(14)=a(11)+a(12) ...

%Y Cf. A093086, A093087, A093088.

%K nonn,base

%O 1,3

%A _Bodo Zinser_, Mar 20 2004