Kakuro Puzzle Number List - Eliminating Sets

This is a table of each total, along with the number of cells, the list of number sets, the numbers that are always in the sets and the numbers that are never in the sets. Other number combinations have been left out in order to keep the size down.

Click here to see the table of all number sets.
 

All Sets
No of
Cells
Sum Sets Always
Used
Never
Used
23
12
12.......
..3456789
24
13
1.3......
.2.456789
25
14 23
.........
....56789
26
15 24
.........
..3..6789
27
16 25 34
.........
......789
28
17 26 35
.........
...4...89
29
18 27 36 45
.........
........9
210
19 28 37 46
.........
....5....
211
29 38 47 56
.........
1........
212
39 48 57
.........
12...6...
213
49 58 67
.........
123......
214
59 68
.........
1234..7..
215
69 78
.........
12345....
216
79
......7.9
123456.8.
217
89
.......89
1234567..
36
123
123......
...456789
37
124
12.4.....
..3.56789
38
125 134
1........
.....6789
39
126 135 234
.........
......789
310
127 136 145 
235
.........
.......89
311
128 137 146 
236 245
.........
........9
319
289 379 469 
478 568
.........
1........
320
389 479 569 
578
.........
12.......
321
489 579 678
.........
123......
322
589 679
........9
1234.....
323
689
.....6.89
12345.7..
324
789
......789
123456...
410
1234
1234.....
....56789
411
1235
123.5....
...4.6789
412
1236 1245
12.......
......789
413
1237 1246 1345
1........
.......89
414
1238 1247 1256 
1346 2345
.........
........9
426
2789 3689 4589 
4679 5678
.........
1........
427
3789 4689 5679
........9
12.......
428
4789 5689
.......89
123......
429
5789
....5.789
1234.6...
430
6789
.....6789
12345....
515
12345
12345....
.....6789
516
12346
1234.6...
....5.789
517
12347 12356
123......
.......89
518
12348 12357 12456
12.......
........9
519
12349 12358 12367 
12457 13456
1........
.........
531
16789 25789 34789 
35689 45679
........9
.........
532
26789 35789 45689
.......89
1........
533
36789 45789
......789
12.......
534
46789
...4.6789
123.5....
535
56789
....56789
1234.....
621
123456
123456...
......789
622
123457
12345.7..
.....6.89
623
123458 123467
1234.....
........9
624
123459 123468 
123567
123......
.........
625
123469 123478 
123568 124567
12.......
.........
626
123479 123569 
123578 124568
134567
1........
.........
634
136789 145789 
235789 245689
345679
........9
.........
635
146789 236789 
245789 345689
.......89
.........
636
156789 246789 
345789
......789
.........
637
256789 346789
.....6789
1........
638
356789
..3.56789
12.4.....
639
456789
...456789
123......
728
1234567
1234567..
.......89
729
1234568
123456.8.
......7.9
730
1234569 1234578
12345....
.........
731
1234579 1234678
1234..7..
.........
732
1234589 1234679 
1235678
123......
.........
733
1234689 1235679 
1245678
12...6...
.........
734
1234789 1235689 
1245679 1345678
1........
.........
735
1235789 1245689 
1345679 2345678
....5....
.........
736
1236789 1245789 
1345689 2345679
........9
.........
737
1246789 1345789 
2345689
...4...89
.........
738
1256789 1346789 
2345789
......789
.........
739
1356789 2346789
..3..6789
.........
740
1456789 2356789
....56789
.........
741
2456789
.2.456789
1.3......
742
3456789
..3456789
12.......
836
12345678
12345678.
........9
837
12345679
1234567.9
.......8.
838
12345689
123456.89
......7..
839
12345789
12345.789
.....6...
840
12346789
1234.6789
....5....
841
12356789
123.56789
...4.....
842
12456789
12.456789
..3......
843
13456789
1.3456789
.2.......
844
23456789
.23456789
1........
945
123456789
123456789
.........

Copyright ©2019 Paul Alan Grosse.