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%I #7 Jul 04 2015 23:17:41
%S 216,250,256,288,400,432,450,486,576,882
%N Numbers n such that n = abc = 2(ab+ac+bc) for some positive integers a,b,c.
%C Otherwise said: Volumes of integer-sided cubes equal to their surface area (assuming dimensionless unit of length).
%C The sequence is a finite subsequence of A055744, A069167, A073539, A090779 and A137845.
%H "Mathematically possible", <a href="http://www.facebook.com/photo.php?fbid=1405824219631552">Volume = Surface Area?</a>, on facebook.com.
%e The triples (a,b,c) ordered by largest member(s) are (6,6,6), (8,8,4), (10,5,5), (12,6,4), (12,12,3), (15,10,3), (18,9,3), (20,5,4), (24,8,3), (42,7,3).
%o (PARI) L=[];for(a=1,99,for(b=1,a,for(c=1,b,a*b*c==2*(a*b+b*c+a*c)&&!printf("(%d,%d,%d), ",a,b,c)&&L=concat(L,a*b*c))));vecsort(L)
%Y Cf. A229941.
%K nonn,fini,full
%O 1,1
%A _M. F. Hasler_, Oct 18 2013
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