memoryless
/ˈmɛm(ə)rɪlɪs/adjective
1Of a person, attribute, etc.: having no memory.
2Of, relating to, or designating systems (especially sequences of random variables), in which the value of each element or state is independent of those that have gone before.
Origin
Mid 19th century; earliest use found in James Russell Lowell (1819–1891), author and diplomat. From memory + -less.