The full name was "Danny's Donuts"
The font was changed and the hexagon inverted in the 70's. This logo can still be seen at two locations in California.
The lettering was smoothed out in the 80s. You can see this version in Japan. This logo is still intact in a few locations in California.
Like the 1968 Pizza Hut logo and the 1992 IHOP logo, this can still be seen at a few scant locations.
Logo with the slogan "Real Breakfast 24/7"
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Logo with the slogan "Welcome to America's Diner"