It is commonplace to see images of the double-headed eagle as an emblem in heraldry, as an emblem of royal empires such as the Hapsburg Empire as well as the Russian Empire, and as a fraternal emblem as in the Ancient and Accepted Scottish Rite of Freemasonry.
A "crowned" double-eagle is commonplace to see in all of the above settings, especially in Russian heraldry. However, to see a crowned double-eagle (issued by Russia) with the all-seeing eye within the delta or triangle is a true rarity. The example below is the only such example that I have ever seen. It is a Russian Medal, issued by Czar Nicholas I in the year 1849 for the "Pacification of Hungary and Transylvania." On the obverse is a radiant triangle with the eye of providence (Almighty God) above a crowned double-headed eagle, wings upward, shield of armor, with scepter and orb held in its claws. I think it is worth noting that the all-seeing eye of Almighty God is positioned above the man-made royal crown. The eagle's claws are holding the scepter and orb. The legend (translated) "God with us. Consider, Heathens, and Submit!"