Number of unordered pairs of partitions of n (into distinct parts) with empty intersection.

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =1a(5) =3a(6) =4a(7) =7a(8) =9a(9) =16a(10) =21a(11) =33a(12) =46a(13) =68a(14) =95a(15) =140a(16) =187a(17) =266a(18) =372a(19) =507a(20) =683a(21) =948a(22) =1256a(23) =1692a(24) =2263a(25) =3003a(26) =3955a(27) =5248a(28) =6824a(29) =8921