Number T(n,k) of 2n-length strings of balanced parentheses of exactly k different types that are introduced in ascending order; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

A253180

Number T(n,k) of 2n-length strings of balanced parentheses of exactly k different types that are introduced in ascending order; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =2a(5) =2a(6) =0a(7) =5a(8) =15a(9) =5a(10) =0a(11) =14a(12) =98a(13) =84a(14) =14a(15) =0a(16) =42a(17) =630a(18) =1050a(19) =420a(20) =42a(21) =0a(22) =132a(23) =4092a(24) =11880a(25) =8580a(26) =1980a(27) =132a(28) =0a(29) =429

External references