G.f.: 1/((1-4x)(1-11x)(1-12x)).

Terms

a(0) =1a(1) =27a(2) =505a(3) =8115a(4) =120241a(5) =1695387a(6) =23126185a(7) =308127555a(8) =4034342881a(9) =52117311147a(10) =666165944665