a puzzle sequence

[N. J. A. Sloane]

I was away for 8 days, so it
will take me a while to get caught up.

This was waiting when I got back:

%I A089746 
%S A089746 4,4,1,2,1,1,2,2,3
%N A089746 Relayed to me by a relative as being one of Marilyn vos Savant's puzzles....
%D A089746 Marilyn vos Savant's puzzles? 
%O A089746 1,1
%K A089746 nonn,unkn
%A A089746 Drexel Hallaway (drexel(AT)cs.columbia.edu), Jan 08 2004

%E A089746 If you can find a simple explanation please let me know! - njas