week's Puzzlet is all about 7-segment digital displays, named that way
because every digit is formed from a combination of no more than seven
display uses the following number of segments to make each digit, as
illustrated in the diagram above:
A product-counter has three 7-segment digits, initially set at 000. The number of segments addressed is thus 3 x 6 = 18. The first product increments the display to 001, addressing only 14 segments this time. The total number of segments addressed so far is 18 + 14 = 32. The next display will be 002, giving a total number of segments addressed of 49. A series of these totals results, generating 18, 32, 49, 66, 82 . . .
The fourth term is UniDigit 66 (all digits the same). Find all UniDigits generated this way for a count of 50,000 products.
Note that the product counter rolls over to zero after it reaches 999.