The clash at Meadow Lane began in the worst possible way for Notts, who found themselves two goals down by the quarter-hour mark.
However, Ryan Yates struck a quickfire brace - assisted by Dickinson for both goals - to edge the hosts level, before Jon Stead and Jorge Grant completed the turnaround by full time.
“It didn’t feel a memorable night in the first 15 minutes, I was gutted,” Dickinson told the Nottingham Post.
“But after that I thought we showed what we were all about. We showed togetherness, our spirit and quality as well.
“Once we got it back to 2-2 there was only going to be one winner.
“In the second half some of the football we played and the chances we created, it could have been five or six.
“The boys were fantastic and to beat a team that are comfortable in League One shows how far we have come.”
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