ilewis49
Very good observation. Now that you are focusing on a single SUM pattern don't forget to ISOLATE that sum so you can see the correct patterns associated with it. For example, you want to see all patterns that come out with sum 18. It will allow you to see what patterns you can remove safely and it uncovers patterns that are always connected to sum 18. NOTICE how isolating sum 18 uncovers Root sum H9, Cut sum H08 and 12sum 1,1, 123Pattern 1,1/1,3/3,1/3,3 connected to sum 18.
You should do your own pattern reduction but here is an idea how to reduce the numbers
BOX
099,189,279,288,369,378,459,468,477,558,567,666(12)
Dominating BOX patterns with sum 18: Out, 123Pattern 1,1, 12Sums 1,1, Root Sums H9, Cut Sums H08
099,189
STRAIGHT
099,909,990,288,828,882,477,747,774,558,585,855,666,189,198,819,891,918,981,279,297,729,792,927,972,369,378,387,396,639,693,738,783,837,873,936,963,459,468,486,495,549,594,648,684,846,864,945,954,567,576,657,675,756,765
Dominating BOX patterns with sum 18: Out, 123Pattern 1,1, 12Sums 1,1, Root Sums H9, Cut Sums H08
099,909,990,189,198,819,891,918,981,279,297,927,972,837,873,936,963,945,954(19)