Light emitted by an object according to its temperature

You would be unlikely to see green. The problem is that in order to see green, you would need the spectrum of emitted light to peak at green and have relatively little contribution from other frequencies. This, for example, is the reason you do not see green stars (There is a cute Feynman story about this). An explanation of color temperature is given on wikipedia. Here is the path a black body takes with temperature increase--a Planckian locus diagram .

To see the green color, you have to use a green glass (a filter). The higher temperature, the brighter the green light emission.