用0123组成六位数,相邻两数的差是一,每一个数字不一定都出现,球有多少个这样?

用0123组成六位数,相邻两数的差是一,每一个数字不一定都出现,球有多少个这样?

101010,101012,101210,101212,101232,121010,121012,121210,121212,121232,123210,123212,123232,210101,210121,210123,212101,212121,212123,212321,212323,232101,232321,232323321010,321012,321210,321212,321232,323210,321212,321232,323210,323212,323232,