括号序列系统枚举之零

\[\mathrm{BrSS\ vs\ 1-Y}\]

\[\mathrm{BrSS:02\sim022}\]

\[\mathrm{1-Y:1,3\sim1,3,4,2,5,7,5}\]

\[02=1,3\]

\[0202=1,3,1,3\]

\[021=1,3,2\]

\[0212=1,3,2,3\]

\[021(01)=1,3,2,4\]

\[021(01)(011)=1,3,2,4,6\]

\[021(01)(012)=1,3,2,4,7\]

\[021(01)(01(01))=1,3,2,4,8\]

\[021(010)=1,3,2,5\]

\[021(010)1=1,3,2,5,2\]

\[021(010)1(010)=1,3,2,5,2,5\]

\[021(010)2=1,3,2,5,3\]

\[021(010)2(001)=1,3,2,5,3,5\]

\[021(010)2(0010)=1,3,2,5,3,6\]

\[021(010)(01)=1,3,2,5,4\]

\[021(010)(01)(010)=1,3,2,5,4,5\]

\[021(010)(01)(011)=1,3,2,5,4,6\]

\[021(010)(01)(012)=1,3,2,5,4,7\]

\[021(010)(01)(01(01))=1,3,2,5,4,8\]

\[021(010)(01)(01(01)0)=1,3,2,5,4,9\]

\[\mathbf{021(010)(010)=1,3,3}\]

\[021(010)(010)(010)=1,3,3,3\]

\[021(010)(0100)=1,3,4\]

\[021(010)(0100)1=1,3,4,2\]

\[021(010)(0100)1(01)=1,3,4,2,4\]

\[021(010)(0100)1(010)=1,3,4,2,5\]

\[021(010)(0100)1(010)2=1,3,4,2,5,3\]

\[021(010)(0100)1(010)2(0010)=1,3,4,2,5,3,6\]

\[021(010)(0100)1(010)(01)=1,3,4,2,5,4\]

\[021(010)(0100)1(010)(01)(01(01)0)=1,3,4,2,5,4,9\]

\[021(010)(0100)1(010)(01)(01(01)0)(01(01))=1,3,4,2,5,4,9,8\]

\[021(010)(0100)1(010)(010)=1,3,4,2,5,5\]

\[021(010)(0100)1(010)(0100)=1,3,4,2,5,6\]

\[021(010)(0100)2=1,3,4,2,5,6,3\]

\[021(010)(0100)2(0010)=1,3,4,2,5,6,3,6\]

\[021(010)(0100)2(0010)(00100)=1,3,4,2,5,6,3,6,7\]

\[021(010)(0100)(01)=1,3,4,2,5,6,4\]

\[021(010)(0100)(01)(012)=1,3,4,2,5,6,4,7\]

\[021(010)(0100)(01)(01(01))=1,3,4,2,5,6,4,8\]

\[021(010)(0100)(01)(01(01)0)=1,3,4,2,5,6,4,9\]

\[021(010)(0100)(01)(01(01)0)(01(01)00)=1,3,4,2,5,6,4,9,10\]

\[021(010)(0100)(01)(01(01)0)(01(01)00)(01(01))=1,3,4,2,5,6,4,9,10,8\]

\[\mathbf{021(010)(0100)(010)=1,3,4,2,5,6,5}\]

\[021(010)(0100)(010)(0100)=1,3,4,2,5,6,5,6\]

\[021(010)(0100)(0100)=1,3,4,2,5,6,6\]

\[021(010)(0100)(01000)=1,3,4,2,5,6,7\]

\[021(010)(0101)=1,3,4,2,5,6,8\]

\[021(010)(0101)(0101(01))=1,3,4,2,5,6,8,12\]

\[021(010)(01010)=1,3,4,2,5,6,9\]

\[021(010)(01010)(010100)=1,3,4,2,5,6,9,10\]

\[021(010)(01010)(0101010)=1,3,4,2,5,6,9,10,13\]

\[021(011)=1,3,4,2,5,7\]

\[021(011)1=1,3,4,2,5,7,2\]

\[021(011)1(010)=1,3,4,2,5,7,2,5\]

\[021(011)1(010)(0100)=1,3,4,2,5,7,2,5,6\]

\[021(011)1(010)(01010)=1,3,4,2,5,7,2,5,6,9\]

\[021(011)1(011)=1,3,4,2,5,7,2,5,7\]

\[021(011)2=1,3,4,2,5,7,3\]

\[021(011)2(0011)=1,3,4,2,5,7,3,6,8\]

\[021(011)(01)=1,3,4,2,5,7,4\]

\[021(011)(01)(01(01)0)=1,3,4,2,5,7,4,9\]

\[021(011)(01)(01(01)0)(01(01)00)=1,3,4,2,5,7,4,9,10\]

\[021(011)(01)(01(01)1)=1,3,4,2,5,7,4,9,11\]

\[021(011)(01)(01(01)2)=1,3,4,2,5,7,4,9,12\]

\[021(011)(01)(01(01)(01))=1,3,4,2,5,7,4,9,13\]

\[021(011)(01)(01(01)(01))(01(01))(01(01)(01(01))(01(01)))=1,3,4,2,5,7,4,9,13,8,17,25\]

\[\mathbf{022=1,3,4,2,5,7,5}\]