there are worth 250.00-500.00,made in the in the 1950's- early 60's. i have a 16 gauge 311a, it was my grandfathers gun. The 311 series was made until 1988 or 98. The values given in the first answer seem a bit high for a 12 or 16 gauge, but a 20 gauge or .410 could bring that much.
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That G is the indicator of year of manufacture. A stands for 1949, so yours was made in 1955.
The 311A was not designed to be stamped two times in the spot. if most of the other stamping looks the same it was probably an accident that happened during the manufacturing of a specific batch of guns.