Binomial transform of the number of partitions into distinct parts (A000009).

Terms

a(0) =1a(1) =2a(2) =4a(3) =9a(4) =21a(5) =49a(6) =114a(7) =265a(8) =615a(9) =1422a(10) =3272a(11) =7493a(12) =17090a(13) =38850a(14) =88065a(15) =199097a(16) =448953a(17) =1009788a(18) =2265642a(19) =5071611a(20) =11328395a(21) =25254093a(22) =56195143a(23) =124829822a(24) =276839061a(25) =612991848a(26) =1355268779a(27) =2992016128a(28) =6596222234a(29) =14522634554