Expansion of g.f. 1 / Product_{n>=0} (1 - x^(n+3))^((n+1)*(n+2)/2!).

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =3a(5) =6a(6) =11a(7) =18a(8) =33a(9) =57a(10) =105a(11) =183a(12) =330a(13) =567a(14) =990a(15) =1693a(16) =2904a(17) =4917a(18) =8343a(19) =14010a(20) =23511a(21) =39171a(22) =65100a(23) =107592a(24) =177352a(25) =290931a(26) =475905a(27) =775381a(28) =1259637a(29) =2039094