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

Terms

a(0) =1a(1) =3a(2) =9a(3) =21a(4) =47a(5) =95a(6) =186a(7) =344a(8) =620a(9) =1078a(10) =1835a(11) =3045a(12) =4967a(13) =7947a(14) =12534a(15) =19470a(16) =29879a(17) =45285a(18) =67924a(19) =100820a(20) =148301a(21) =216199a(22) =312690a(23) =448738a(24) =639464a(25) =905024a(26) =1272837a(27) =1779237a(28) =2473065a(29) =3418655