Number of noncrossing partitions up to rotation of an n-set without singleton blocks.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =2a(5) =2a(6) =5a(7) =6a(8) =15a(9) =28a(10) =67a(11) =145a(12) =368a(13) =870a(14) =2211a(15) =5549a(16) =14290a(17) =36824a(18) =96347a(19) =252927a(20) =670142a(21) =1783770a(22) =4777951a(23) =12855392a(24) =34756783a(25) =94345664a(26) =257114389a(27) =703150507a(28) =1929404736a(29) =5310364234