It is shown that by cascading a few simple resistor-capacitor filters, a filter can be constructed which generates from a white noise source a noise signal whose spectral density is very nearly flicker |f|−1, over several decades of frequency f. Using difference equations modeling this filter, recursion relations are obtained which permit very efficient digital computer generation of flicker noise time-series over a similar spectral range. These analog and digital filters may also be viewed as efficient approximations to integrators of order one-half.