The same sums repeat!

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Sums with Box Combinations

"Quant" is the number of box combinations for each sum.

Sum Quant Box Combinations
0 1 000
1 1 001
2 2 002, 011
3 3 003, 012, 111
4 4 004, 013, 022, 112
5 5 005, 014, 023, 113, 122
6 7 006, 015, 024, 033, 114, 123, 222
7 8 007, 016, 025, 034, 115, 124, 133, 223
8 10 008, 017, 026, 035, 044, 116, 125, 134, 224, 233
9 12 009, 018, 027, 036, 045, 117, 126, 135, 144, 225, 234, 333
10 13 019, 028, 037, 046, 055, 118, 127, 136, 145, 226, 235, 244, 334
11 14 029, 038, 047, 056, 119, 128, 137, 146, 155, 227, 236, 245, 335, 344
12 15 039, 048, 057, 066, 129, 138, 147, 156, 228, 237, 246, 255, 336, 345, 444
13 15 049, 058, 067, 139, 148, 157, 166, 229, 238, 247, 256, 337, 346, 355, 445
14 15 059, 068, 077, 149, 158, 167, 239, 248, 257, 266, 338, 347, 356, 446, 455
15 15 069, 078, 159, 168, 177, 249, 258, 267, 339, 348, 357, 366, 447, 456, 555
16 14 079, 088, 169, 178, 259, 268, 277, 349, 358, 367, 448, 457, 466, 556
17 13 089, 179, 188, 269, 278, 359, 368, 377, 449, 458, 467, 557, 566
18 12 099, 189, 279, 288, 369, 378, 459, 468, 477, 558, 567, 666
19 10 199, 289, 379, 388, 469, 478, 559, 568, 577, 667
20 8 299, 389, 479, 488, 569, 578, 668, 677
21 7 399, 489, 579, 588, 669, 678, 777
22 5 499, 589, 679, 688, 778
23 4 599, 689, 779, 788
24 3 699, 789, 888
25 2 799, 889
26 1 899
27 1 999

001 029 038 047 056 119 128 137 146 155 227 236 245 335 344 399 489 579 588 669 678 777 

Entry #3,016

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