Continuous signal to multiple pulses
search for 555 timer. http://www.electroschematics.com/4843/1-hz-pulse-generator/   

Below excerpt from 
http://www.555-timer-circuits.com/operating-modes.html
An Astable Circuit has no stable state - hence the name "astable". The output continually switches state between high and low without without any intervention from the user, called a 'square' wave. This type of circuit could be used to give a mechanism intermittent motion by switching a motor on and off at regular intervals. It can also be used to flash lamps and LEDs, and is useful as a 'clock' pulse for other digital ICs and circuits.

The switch can be implemented just as a power pin to the IC, so that whole set up is in OFF state when the switch is released. When the switch is pressed train if pulsed will be generated, duration of pulse width of which is defined by the external time constant (R and C).