Number of proper colorings of the cube with at most n colors under rotational symmetry.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =10a(5) =55a(6) =230a(7) =770a(8) =2156a(9) =5250a(10) =11460a(11) =22935a(12) =42790a(13) =75361a(14) =126490a(15) =203840a(16) =317240a(17) =479060a(18) =704616a(19) =1012605a(20) =1425570a(21) =1970395a(22) =2678830a(23) =3588046a(24) =4741220a(25) =6188150a(26) =7985900a(27) =10199475a(28) =12902526a(29) =16178085