Number of noncrossing partitions of [n] with all blocks of odd size and 1 and n in the same block.

Terms

a(0) =0a(1) =1a(2) =0a(3) =1a(4) =2a(5) =4a(6) =10a(7) =26a(8) =68a(9) =183a(10) =504a(11) =1408a(12) =3982a(13) =11386a(14) =32856a(15) =95551a(16) =279778a(17) =824124a(18) =2440440a(19) =7260888a(20) =21694352a(21) =65066660a(22) =195825872a(23) =591217344a(24) =1790081702a(25) =5434311914a(26) =16537576560a(27) =50439949711a(28) =154163497958a(29) =472094359708