Expansion of 1/(1 - Sum_{k>=1} x^p(k)), where p(k) is the number of partitions of k (A000041).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =14a(6) =26a(7) =50a(8) =95a(9) =180a(10) =343a(11) =652a(12) =1240a(13) =2358a(14) =4484a(15) =8528a(16) =16217a(17) =30840a(18) =58649a(19) =111532a(20) =212101a(21) =403352a(22) =767056a(23) =1458711a(24) =2774031a(25) =5275379a(26) =10032192a(27) =19078230a(28) =36281088a(29) =68995780