Identifying consecutive occurrences of a value

I have a df like so:

Count
1
0
1
1
0
0
1
1
1
0

and I want to return a 1 in a new column if there are two or more consecutive occurrences of 1 in Count and a 0 if there is not. So in the new column each row would get a 1 based on this criteria being met in the column Count. My desired output would then be:

Count  New_Value
1      0 
0      0
1      1
1      1
0      0
0      0
1      1
1      1 
1      1
0      0

I am thinking I may need to use itertools but I have been reading about it and haven't come across what I need yet. I would like to be able to use this method to count any number of consecutive occurrences, not just 2 as well. For example, sometimes I need to count 10 consecutive occurrences, I just use 2 in the example here.