I built a circuit to do exactly this: strobe LEDS in an LL RR pattern on an RC car. However, I designed my circuit to run on +5VDC, and used a voltage regulator to drop the voltage down from a 9V battery. Basically, I did this because I have a lot of old 9V that run at about 7.5V that I wanted to use (from an old smoke detector). If you want to change the circuit to run on 9V, you're going to have to play around with the resistor and capacitor values to get the timing right, and be sure to adjust the current limiting resistors for your LEDS...
Here's the schematic. I pulled the parts from old electronics, and they seemed to work. No ICs, only resistors, transistors, capacitors, and diodes. You can probably substitute any variety of NPN and PNP resistors, provided they can handle the amount of current you're looking to drive. Mine did fine running 6 LEDs total.
Also, please note that D1 and D2 ended up being LEDS. For some reason, it wouldn't work with small-signal diodes (although it may be because I used salvaged parts). I'm currently working on a protoboard layout to build a more permanent version of this circuit.
Good luck. Let us know how it turns out.
jptrsn.