%I A070302
%S A070302 1,19,121,439,1171,2581,4999,8821,14509,22591,33661,48379,67471,91729,
%T A070302 122011,159241,204409,258571,322849,398431,486571,588589,705871,839869,
%U A070302 992101,1164151,1357669,1574371,1816039,2084521,2381731,2709649
%N A070302 Number of 3 X 3 X 3 magic cubes with sum 3n.
%D A070302 Maya Ahmed, Jesus De Loera and Raymond Hemmecke, Polyhedral cones of 
               magic cubes and squares, in Discrete and Computational Geometry, 
               Springer, Berlin, 2003, pp. 25-41,
%H A070302 M. Ahmed, J. De Loera, R. Hemmecke, <a href="http://front.math.ucdavis.edu/
               math.CO/0201108">Polyhedral Cones of Magic Cubes and Squares</a>
%F A070302 Generating function : (x^12 + 14x^9 + 36x^6 + 14x^3 + 1)/(1 - x^3)^5
%t A070302 Select[ CoefficientList[ Series[ (x^12 + 14x^9 + 36x^6 + 14x^3 + 1) / 
               (1 - x^3)^5, {x, 0, 105}], x], # > 0 & ]
%Y A070302 First differences are in A008528. Cf. A111085.
%Y A070302 Sequence in context: A044732 A159851 A157340 this_sequence A125329 A126487 
               A109669
%Y A070302 Adjacent sequences: A070299 A070300 A070301 this_sequence A070303 A070304 
               A070305
%K A070302 nonn
%O A070302 1,2
%A A070302 Sharon Sela (sharonsela(AT)hotmail.com), May 10 2002
%E A070302 Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), May 13 2002