Software that determines whether a molecule can exist and draw it from a formula? I have run calculations that predict atomic configurations.  As a simple example, in a system that contains H and O, I might get a list like:

Configurations for the O atom
O H
0 2
2 6


This would tell me that in my system, there's one O atom bonded to two H atoms and there's also a molecule made up of three O atoms bonded to each other and six H atoms.  My real systems are more complex.

I am not really a chemist and have no idea whether some of the molecules I have calculated actually exist and what they would look like if they did.  Does anyone know if there's software available that might help me with this; i.e., where I can enter a potential formula and the software draws the molecule and tells me whether it exists?  

I have so far checked out ChemDraw Professional and Avogadro and it doesn't look like they do what I need.  Thank you for any tips.
I believe this website will be of use to you

http://molview.org/

It appears to take names, formulas, smiles etc. If the name/formula/smile ID pops up in the search bar, it will draw it for you. Its database seems quite large, I use it for some pretty big drug molecules.

It draws 2D and 3D images, and it also does single/double/triple bonds.