I'm trying to get a list of the sum of all possible consecutive numbers.

E.g.

for p:i.4, I want a list:

2 0 0 0
2 3 0 0
2 3 5 0
2 3 5 7
3 5 7 0
5 7 0 0
7 0 0 0
3 5 0 0

I then do +/"1 to get the sum of each row. My problem is that I'm only getting 
consecutive numbers that start on p:0 or end on the last value, so it misses 
out loads in between. In the example above I get all but the last row. This is 
what I have so far:

   list=:3 :'(+/"1@>{\p:i.y),+/"1@>{\.p:i.y'
   list 10
2 5 10 17 28 41 58 77 100 129 129 127 124 119 112 101 88 71 52 29

Also I was wondering if there was a way to streamline something like that 
because I'm doing +/"1@>{\.p:i.y twice basically, but with \. changed to \
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