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%I #14 Sep 29 2013 05:21:52
%S 1,1,3,5,10,15,29,41,68,98,147,202,291,386,528,688,906,1151,1480,1841,
%T 2310,2833,3484,4207,5099,6076,7259,8562,10104,11796,13785,15948,
%U 18462,21201,24339,27747,31633,35827,40572,45695,51436,57618,64520,71918
%N Number of ways of numbering the faces of a cube with nonnegative integers so that the sum of the 6 numbers is n.
%C Here we consider the symmetries of the cube in 3D space (mirror reflections are not allowed), cf. A097513. - _Geoffrey Critzer_, Sep 28 2013
%F G.f.: (3*x^6+x^5+x^4+1)/((1-x^4)*(1-x^3)^2*(1-x^2)^2*(1-x)).
%t nn=43;f[x_]=1/(1-x);CoefficientList[Series[1/24 (f[x]^6+6f[x]^2f[x^4]+3f[x]^2f[x^2]^2+8f[x^3]^2+6f[x^2]^3),{x,0,nn}],x] (* _Geoffrey Critzer_, Sep 28 2013 *)
%Y Cf. A039959.
%K easy,nonn
%O 0,3
%A _Vladeta Jovovic_, May 20 2000
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