perl -le'$_=1;print,s/(\d+) ?/+$1 $1/g,s/\S+/$&/eeguntil/560/'
Shaving 12 strokes (down to 41 bytes): 
s/^|\d+/$&+$'||1/eg,print,s// /for($/)x16

[download]
(Can run this from a file or via perl -e).

Update: if you are willing to allow a trailing space on each line that can be reduced to 38 bytes: 

s/^/1 /,print,s/\d+/$&+$'/egfor($/)x16

[download]

Using perl -l, five more: 

#!perl -l
s/^/1 /,print,s/\d+/$&+$'/eguntil/08/
s/^/1 /,print,s/\d+/$&+$'/eg^16&&do$0
1while s/^/1 /,print,s/\d+/$&+$'/eg^16
{s/^/1 /,print,s/\d+/$&+$'/eg^16&&redo}
eval's/^/1 /;print;s/\d+/$&+$\'/eg;'x16

[download]

In reply to Re^2: Pascal-Sierpinski for golfers by eyepopslikeamosquito
in thread Pascal-Sierpinski for golfers by brx

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