Expansion of Product_{k>0} (1 + Sum_{m>0} x^(k*m!)).

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =5a(6) =8a(7) =9a(8) =14a(9) =17a(10) =24a(11) =29a(12) =40a(13) =49a(14) =64a(15) =77a(16) =101a(17) =122a(18) =156a(19) =187a(20) =235a(21) =281a(22) =349a(23) =416a(24) =514a(25) =608a(26) =742a(27) =877a(28) =1062a(29) =1252