Exponential convolution of number of partitions into distinct parts (A000009) with themselves.

Terms

a(0) =1a(1) =2a(2) =4a(3) =10a(4) =26a(5) =66a(6) =184a(7) =472a(8) =1268a(9) =3340a(10) =8748a(11) =22772a(12) =59102a(13) =151590a(14) =386830a(15) =983914a(16) =2489384a(17) =6263284a(18) =15703204a(19) =39221884a(20) =97498736a(21) =241538472a(22) =596115898a(23) =1465958522a(24) =3595196600a(25) =8788765304a(26) =21421616934a(27) =52080152238a(28) =126268822824a(29) =305365334180