Number of admissible mesa sets among Stirling permutations of order n.

Terms

a(0) =1a(1) =2a(2) =3a(3) =6a(4) =12a(5) =22a(6) =44a(7) =88a(8) =169a(9) =338a(10) =676a(11) =1322a(12) =2644a(13) =5288a(14) =10433a(15) =20866a(16) =41732a(17) =82736a(18) =165472a(19) =330944a(20) =658012a(21) =1316024a(22) =2632048a(23) =5242778a(24) =10485556a(25) =20971112a(26) =41822049a(27) =83644098a(28) =167288196a(29) =333885702