// output of ./demo/comb/catalan-step-rgs-colex-demo.cc: // Description: //% Catalan (step-)RGS for lattice paths from (0,0) to (n,n) //% that do not go below the diagonal (k, k) for 0 <= k <= n. //% Co-lexicographic order. //% Cf. OEIS sequence A000108. arg 1: 5 == n [Catalan (step-)RGS for paths from (0,0) to (n,n)] default=5 arg 2: 0 == pq [Whether do draw path (as ASCII art)] default=0 1: [ . . . . . ] 4 2: [ . . . . 1 ] 4 3: [ . . . 1 1 ] 3 4: [ . . 1 1 1 ] 2 5: [ . 1 1 1 1 ] 1 6: [ . . . . 2 ] 4 7: [ . . . 1 2 ] 3 8: [ . . 1 1 2 ] 2 9: [ . 1 1 1 2 ] 1 10: [ . . . 2 2 ] 3 11: [ . . 1 2 2 ] 2 12: [ . 1 1 2 2 ] 1 13: [ . . 2 2 2 ] 2 14: [ . 1 2 2 2 ] 1 15: [ . . . . 3 ] 4 16: [ . . . 1 3 ] 3 17: [ . . 1 1 3 ] 2 18: [ . 1 1 1 3 ] 1 19: [ . . . 2 3 ] 3 20: [ . . 1 2 3 ] 2 21: [ . 1 1 2 3 ] 1 22: [ . . 2 2 3 ] 2 23: [ . 1 2 2 3 ] 1 24: [ . . . 3 3 ] 3 25: [ . . 1 3 3 ] 2 26: [ . 1 1 3 3 ] 1 27: [ . . 2 3 3 ] 2 28: [ . 1 2 3 3 ] 1 29: [ . . . . 4 ] 4 30: [ . . . 1 4 ] 3 31: [ . . 1 1 4 ] 2 32: [ . 1 1 1 4 ] 1 33: [ . . . 2 4 ] 3 34: [ . . 1 2 4 ] 2 35: [ . 1 1 2 4 ] 1 36: [ . . 2 2 4 ] 2 37: [ . 1 2 2 4 ] 1 38: [ . . . 3 4 ] 3 39: [ . . 1 3 4 ] 2 40: [ . 1 1 3 4 ] 1 41: [ . . 2 3 4 ] 2 42: [ . 1 2 3 4 ] 1 ct=42