A230400 Numbers n such that n = abc = 2(ab+ac+bc) for some positive integers a,b,c.

216, 250, 256, 288, 400, 432, 450, 486, 576, 882

Offset: 1

Author

M. F. Hasler, Oct 18 2013

Keywords

• nonn
• fini
• full

Comments

Otherwise said: Volumes of integer-sided cubes equal to their surface area (assuming dimensionless unit of length).

The sequence is a finite subsequence of A055744, A069167, A073539, A090779 and A137845.

Examples

			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).
		

Links

• "Mathematically possible", Volume = Surface Area?, on facebook.com.

Crossrefs

Cf. A229941.

Programs

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)