Number of partitions of n, with three kinds of 1,2,3 and 4 and two kinds of 5,6,7,...

Terms

a(0) =1a(1) =3a(2) =9a(3) =22a(4) =51a(5) =107a(6) =217a(7) =416a(8) =775a(9) =1393a(10) =2446a(11) =4185a(12) =7028a(13) =11569a(14) =18749a(15) =29908a(16) =47083a(17) =73157a(18) =112396a(19) =170783a(20) =256972a(21) =383003a(22) =565961a(23) =829410a(24) =1206282a(25) =1741592a(26) =2497425a(27) =3557957a(28) =5037936a(29) =7091711