%I A112590
%S A112590 1,8,10,1,171,1,461,1,12203,1,318880,1,57725,1,6698,1
%N A112590 Lengths of the loop of the sequences "Sum of last n digits" beginning 
               with (n-1) zeros followed by digit 9.
%e A112590 a(3)=10 because the sum of last three *digits* of the sequence beginning 
               with 0,0,9, (two zeros followed by a 9) enters in a loop whose length 
               is 10 terms; so a(3)=10.
%e A112590 a(4)=1 because "Sum of last four digits" beginning with 0,0,0,9 enters 
               in a cycle of one term (the same term repeated).
%e A112590 Computed by Michael D Beeler.
%Y A112590 Cf. A112395.
%Y A112590 Sequence in context: A042393 A114132 A038704 this_sequence A105386 A124685 
               A105021
%Y A112590 Adjacent sequences: A112587 A112588 A112589 this_sequence A112591 A112592 
               A112593
%K A112590 base,easy,nonn
%O A112590 1,2
%A A112590 Alexandre Wajnberg (alexandre.wajnberg(AT)skynet.be), Dec 17 2005