The Drake equation and the Fermi paradox have been discussed many times in science fiction...
The equation was cited by Gene Roddenberry as supporting the multiplicity of inhabited planets shown in Star Trek, the television show he created. However, Roddenberry didn't have the equation with him, and he was forced to "invent" it for his original proposal. The invented equation created by Roddenberry is:
F*f^2(MgE)-C^1 * Ri^1 * M=L/So
Drake has gently pointed out, however, that a number raised to the first power is merely the number itself.