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

Terms

a(0) =1a(1) =3a(2) =9a(3) =22a(4) =50a(5) =104a(6) =208a(7) =394a(8) =724a(9) =1286a(10) =2229a(11) =3769a(12) =6253a(13) =10176a(14) =16303a(15) =25723a(16) =40055a(17) =61588a(18) =93647a(19) =140875a(20) =209889a(21) =309846a(22) =453565a(23) =658627a(24) =949310a(25) =1358589a(26) =1931464a(27) =2728547a(28) =3831654a(29) =5350119