Number of partitions of [n] whose block maxima sum to 2n.

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =2a(5) =7a(6) =15a(7) =39a(8) =81a(9) =193a(10) =396a(11) =885a(12) =1816a(13) =3915a(14) =7973a(15) =16860a(16) =34165a(17) =71092a(18) =143804a(19) =295963a(20) =596872a(21) =1219950a(22) =2455139a(23) =4989265a(24) =10028841a(25) =20296288a(26) =40745616a(27) =82225558a(28) =164916967a(29) =332045545