G.f. satisfies A(x) = 1 + x*cycle_index(Sym(7), A(x)).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =9a(6) =20a(7) =48a(8) =115a(9) =285a(10) =716a(11) =1833a(12) =4740a(13) =12410a(14) =32754a(15) =87176a(16) =233547a(17) =629540a(18) =1705809a(19) =4644231a(20) =12697500a(21) =34848694a(22) =95973026a(23) =265142431a(24) =734606478a(25) =2040683413a(26) =5682634446a(27) =15859800889a(28) =44355531103a(29) =124290064228