Number of inequivalent colorings of the Fano plane with n colors.

Terms

a(0) =1a(1) =10a(2) =60a(3) =264a(4) =930a(5) =2766a(6) =7205a(7) =16880a(8) =36279a(9) =72610a(10) =136906a(11) =245400a(12) =421200a(13) =696294a(14) =1113915a(15) =1731296a(16) =2622845a(17) =3883770a(18) =5634184a(19) =8023720a(20) =11236686a(21) =15497790a(22) =21078465a(23) =28303824a(24) =37560275a(25) =49303826a(26) =64069110a(27) =82479160a(28) =105255964a(29) =133231830