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%I #12 Jun 18 2017 02:23:14
%S 1,10,60,264,930,2766,7205,16880,36279,72610,136906,245400,421200,
%T 696294,1113915,1731296,2622845,3883770,5634184,8023720,11236686,
%U 15497790,21078465,28303824,37560275,49303826,64069110,82479160,105255964,133231830,167361591,208735680
%N Number of inequivalent colorings of the Fano plane with n colors.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Fano_plane">Fano plane</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F a(n) = n*(n^2+6)*(n^4+15*n^2+8)/168.
%F G.f.: x*(x^2+x+1)*(x^4+x^3+6*x^2+x+1) / (x-1)^8. - _Colin Barker_, May 03 2014
%o (PARI) Vec(x*(x^2+x+1)*(x^4+x^3+6*x^2+x+1)/(x-1)^8 + O(x^100)) \\ _Colin Barker_, May 03 2014
%K nonn,easy
%O 1,2
%A _Philippe Deléham_, May 02 2014
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