Number of odd-length multiset partitions of integer partitions of n.

Terms

a(0) =0a(1) =1a(2) =2a(3) =4a(4) =7a(5) =14a(6) =28a(7) =54a(8) =106a(9) =208a(10) =399a(11) =757a(12) =1424a(13) =2642a(14) =4860a(15) =8851a(16) =15991a(17) =28673a(18) =51095a(19) =90454a(20) =159306a(21) =279067a(22) =486598a(23) =844514a(24) =1459625a(25) =2512227a(26) =4307409a(27) =7357347a(28) =12522304a(29) =21238683