A for Andromeda

A for Andromeda was written by Fred Hoyle and John Elliot for a British T.V. series in 1961, and a novel was published in 1962.  Earth scientists pick up an alien transmission, which turn out to be instructions for building a big super-computer, which enables them to grow an embryo that grows into a woman with an alien intelligence who is foxy but bad, then foxy but good.  This novel probably inspired Carl Sagan's Contact, as the idea of extraterrestrials contacting earth using binary code or the language of mathematics is a good one. Pretty cool, pretty fun, pretty girl in the T.V. show from 1961:

Julie Christie in A for Andromeda