Friday, 9 March 2012

Repeating sequence

I am giving below a few initial terms of a sequence-
0,0,0,1,0,2,1,0,3,2,1,4,0,5,3,,2,6,1,7,4,0,8,5.........
The surprising feature of this sequence is that if  you delete the first occurrence of each digit,the original sequence will show up again.
I am showing below the position after deleting the first occurrence of each digit  ,the  deleted digits shown in brackets for ready check-
(0),0,0,(1),0,(2),1,0,(3),2,1,(4),0,(5),3,2,(6),1,(7),4,0,(8),5.....
Can you find out the further digits/numbers in the original sequence so that this property remains in force?

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