Hi,
The oxygen machine may have a start up surge. Try to find out what that is. It may be triple the run wattage.
Buy an inverter which will cover the start up surge.
It will need to be a pure sine wave inverter. Here is one that is 2000 watts and inexpensive. http://www.bestconverter.com/Prowatt-SW2000-Sine-Wave-Inverter_p_375.html#.WOXP0ri1u1s
Regards, Don
My ride is a 28 foot Class C, 256 watts solar, 556 amp-hours of Telcom jars, 3000 watt Magnum hybrid inverter, Sola Basic Autoformer, Microair Easy Start.