%I A075777
%S A075777 6,10,14,16,22,22,30,24,30,34,46,32,54,46,46,40,70,42,78,48,62,70,94,
%T A075777 52,70,82,54,64,118,62,126,64,94,106,94,66,150,118,110,76,166,82,174,
%U A075777 96,78,142,190,80,126,90,142,112,214,90,142,100,158,178,238,94,246,190
%N A075777 Minimal surface area of a rectangular solid with volume n and integer 
               sides.
%C A075777 To find minimum surface area, let s1_0 = [n^(1/3)]. Find largest integer 
               s1 such that s1 <= s1_0 and s1 | n. Then let s2_0 = [sqrt(n / s1)]. 
               Find largest integer s2 such that s2 <= s2_0 and s2 | (n / s1). Then 
               s3 = n / (s1 * s2). And minimum surface area a(n) = 2 * (s1 * s2 
               + s1 * s3 + s2 * s3).
%e A075777 a(12) = 32 because side lengths of 2, 2 and 3 will give volume 12 and 
               surface area 32, which is the minimum surface area.
%Y A075777 Cf. A135711.
%Y A075777 Sequence in context: A085647 A072901 A162409 this_sequence A167200 A077667 
               A091577
%Y A075777 Adjacent sequences: A075774 A075775 A075776 this_sequence A075778 A075779 
               A075780
%K A075777 easy,nonn
%O A075777 1,1
%A A075777 Robert A. Stump (bee_ess107(AT)msn.com), Oct 09 2002