// output of ./demo/seq/A206464-demo.cc: // Description: //% OEIS sequence A206464: //% Number of length-n Catalan-RGS (restricted growth strings) such that //% the RGS is a valid mixed radix number in falling factorial basis. arg 1: 5 == n [Number of paren pairs] default=5 arg 2: 0 == bw [Whether to generate backward order] default=0 1: [ . . . . . ] 1 ()()()()() 1.1.1.1.1. 2: [ . 1 . . . ] 1 (())()()() 11..1.1.1. 3: [ . 1 1 . . ] 2 (()())()() 11.1..1.1. 4: [ . 1 2 . . ] 2 ((()))()() 111...1.1. 5: [ . 1 2 1 . ] 3 ((())())() 111..1..1. 6: [ . 1 2 2 . ] 3 ((()()))() 111.1...1. 7: [ . 1 2 2 1 ] 4 ((()())()) 111.1..1.. 8: [ . 1 2 1 1 ] 4 ((())()()) 111..1.1.. 9: [ . 1 2 . 1 ] 4 ((()))(()) 111...11.. 10: [ . 1 1 1 . ] 3 (()()())() 11.1.1..1. 11: [ . 1 1 2 . ] 3 (()(()))() 11.11...1. 12: [ . 1 1 2 1 ] 4 (()(())()) 11.11..1.. 13: [ . 1 1 1 1 ] 4 (()()()()) 11.1.1.1.. 14: [ . 1 1 . 1 ] 4 (()())(()) 11.1..11.. 15: [ . 1 . 1 . ] 3 (())(())() 11..11..1. 16: [ . 1 . 1 1 ] 4 (())(()()) 11..11.1.. 17: [ . 1 . . 1 ] 4 (())()(()) 11..1.11.. 18: [ . . 1 . . ] 2 ()(())()() 1.11..1.1. 19: [ . . 1 1 . ] 3 ()(()())() 1.11.1..1. 20: [ . . 1 2 . ] 3 ()((()))() 1.111...1. 21: [ . . 1 2 1 ] 4 ()((())()) 1.111..1.. 22: [ . . 1 1 1 ] 4 ()(()()()) 1.11.1.1.. 23: [ . . 1 . 1 ] 4 ()(())(()) 1.11..11.. 24: [ . . . 1 . ] 3 ()()(())() 1.1.11..1. 25: [ . . . 1 1 ] 4 ()()(()()) 1.1.11.1.. 26: [ . . . . 1 ] 4 ()()()(()) 1.1.1.11.. ct=26