G.f.: A(x) = Product_{n>=0} 1/(1 - a(n)*x^(n+1)) = Sum_{n>=0} a(n)*x^n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =20a(6) =49a(7) =117a(8) =297a(9) =746a(10) =1947a(11) =5021a(12) =13378a(13) =35237a(14) =95123a(15) =254825a(16) =694987a(17) =1882707a(18) =5184391a(19) =14177587a(20) =39289183a(21) =108337723a(22) =301997384a(23) =837774846a(24) =2347293253a(25) =6546903307a(26) =18417850843a(27) =51617715836a(28) =145722478875a(29) =409964137081