Number of novel integer partitions whose parts sum to 2n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =15a(6) =29a(7) =52a(8) =93a(9) =162a(10) =279a(11) =463a(12) =769a(13) =1236a(14) =1975a(15) =3100a(16) =4824a(17) =7358a(18) =11200a(19) =16706