Number of distinct values taken by 3^3^...^3 (with n 3's and parentheses inserted in all possible ways).

A003018

Number of distinct values taken by 3^3^...^3 (with n 3's and parentheses inserted in all possible ways).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =20a(6) =47a(7) =111a(8) =270a(9) =664a(10) =1659a(11) =4184a(12) =10662a(13) =27367a(14) =70747a(15) =183925a(16) =480656a(17) =1261630a(18) =3324772a(19) =8792592a(20) =23327249a(21) =62067785a(22) =165586565

External references