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Without any details, I'm immediately going to suggest the simple 555 timer for the oscillator, a counter (maybe a 74LS93), and a combination of logic chips to determine when the output reaches the desired end state. Counting to binary 8 seems easiest (least significant bit goes 0, 1, 0, 1, 0, 1, 0, 1, then finally goes back to 0). Detecting an 8 is easy. It's the first time the most significant output Q4 goes high. When that happens, turn off the counter's enable, so it stops counting. There's your four pulses. Want 3 instead? Have it count up to 6.
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