I'm quite sure this can be golfed further, but as it seems shorter than the above solutions I must post it.
perl -le 'printf"%*s\n",$t+$_,(1x$_)**2for(1x($t=pop))**2=~/./g' 9
Update: see also Christmas Tree.
Update: one character shorter:
perl -e 'printf"%*s\n",$t+$_,(1x$_)**2for(1x($t=pop))**2=~/./g' 9
Somewhat shorter:
perl -le 'print" "x($t-$_),(1x$_)**2for(1x($t=pop))**2=~/./g' 9
Update 2012-03-14: and see Spiraling integers for yet another arrangement of numbers.
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