Number of partitions of the (n+2)-multiset {0,...,0,1,2} with n 0's into distinct multisets.

Terms

a(0) =2a(1) =5a(2) =9a(3) =16a(4) =25a(5) =38a(6) =56a(7) =80a(8) =111a(9) =152a(10) =205a(11) =272a(12) =357a(13) =463a(14) =595a(15) =759a(16) =960a(17) =1205a(18) =1504a(19) =1865a(20) =2300a(21) =2823a(22) =3448a(23) =4192a(24) =5076a(25) =6122a(26) =7356a(27) =8809a(28) =10514a(29) =12509