Originally posted by Vermillion 
Sikboy, you may be thinking of either the Yak-9T (which we have), the Yak-9K, or the mention Yak-9UT.  Which were all outgrowths of the early experiments on the big gunned Yak-9's 
 No, I've already dismissed both of those varients I believe. 
Yak-9T= NS-37
Yak-9K= HS-45
Yak-9UT= NS-37
From a very poor source I read that the the Yak-9U prototype was fitted with the VYa-23, but it was not adopted for production. 
The aircraft I was refering to that was designed to be fitted with any of the main guns (NS-37, HS-45, ShVAK 20mm, or Vya-23) was the Yak-9TK. It was never produced as a combat aircraft. 
-Sik