the combination 1-2-3-4-5-6 has a lexographic value of one,
then 1-2-3-4-5-7 a value of 2 and so on until you reach 44-45-46-47-48-49 with a value of 13,983,816.
It just puts order in all combinations.
And a formula can calculate this value in no time.
now let say we print out all 13,983,816. combinations and highlighted all the already drawn ones.
that would leave us with the ones that has not yet.
then we remove all consecutive of 6s and 5s and the skip 1s and 2s as well as 3s
this way we would be condensing the remaining combinations.
Here is the distribution I have for numbers in a 6/49 lottery. For each number (from 01 to 49), it lists how often the number shows up in each position (from P1 to P6).
01: 1,712,304 in P1 -- 0 in P2 -- 0 in P3 -- 0 in P4 -- 0 in P5 -- 0 in P6
02: 1,533,939 in P1 -- 178,365 in P2 -- 0 in P3 -- 0 in P4 -- 0 in P5 -- 0 in P6
03: 1,370,754 in P1 -- 326,370 in P2 -- 15,180 in P3 -- 0 in P4 -- 0 in P5 -- 0 in P6
04: 1,221,759 in P1 -- 446,985 in P2 -- 42,570 in P3 -- 990 in P4 -- 0 in P5 -- 0 in P6
05: 1,086,008 in P1 -- 543,004 in P2 -- 79,464 in P3 -- 3,784 in P4 -- 44 in P5 -- 0 in P6
06: 962,598 in P1 -- 617,050 in P2 -- 123,410 in P3 -- 9,030 in P4 -- 215 in P5 -- 1 in P6
07: 850,668 in P1 -- 671,580 in P2 -- 172,200 in P3 -- 17,220 in P4 -- 630 in P5 -- 6 in P6
08: 749,398 in P1 -- 708,890 in P2 -- 223,860 in P3 -- 28,700 in P4 -- 1,435 in P5 -- 21 in P6
09: 658,008 in P1 -- 731,120 in P2 -- 276,640 in P3 -- 43,680 in P4 -- 2,800 in P5 -- 56 in P6
10: 575,757 in P1 -- 740,259 in P2 -- 329,004 in P3 -- 62,244 in P4 -- 4,914 in P5 -- 126 in P6
11: 501,942 in P1 -- 738,150 in P2 -- 379,620 in P3 -- 84,360 in P4 -- 7,980 in P5 -- 252 in P6
12: 435,897 in P1 -- 726,495 in P2 -- 427,350 in P3 -- 109,890 in P4 -- 12,210 in P5 -- 462 in P6
13: 376,992 in P1 -- 706,860 in P2 -- 471,240 in P3 -- 138,600 in P4 -- 17,820 in P5 -- 792 in P6
14: 324,632 in P1 -- 680,680 in P2 -- 510,510 in P3 -- 170,170 in P4 -- 25,025 in P5 -- 1,287 in P6
15: 278,256 in P1 -- 649,264 in P2 -- 544,544 in P3 -- 204,204 in P4 -- 34,034 in P5 -- 2,002 in P6
16: 237,336 in P1 -- 613,800 in P2 -- 572,880 in P3 -- 240,240 in P4 -- 45,045 in P5 -- 3,003 in P6
17: 201,376 in P1 -- 575,360 in P2 -- 595,200 in P3 -- 277,760 in P4 -- 58,240 in P5 -- 4,368 in P6
18: 169,911 in P1 -- 534,905 in P2 -- 611,320 in P3 -- 316,200 in P4 -- 73,780 in P5 -- 6,188 in P6
19: 142,506 in P1 -- 493,290 in P2 -- 621,180 in P3 -- 354,960 in P4 -- 91,800 in P5 -- 8,568 in P6
20: 118,755 in P1 -- 451,269 in P2 -- 624,834 in P3 -- 393,414 in P4 -- 112,404 in P5 -- 11,628 in P6
21: 98,280 in P1 -- 409,500 in P2 -- 622,440 in P3 -- 430,920 in P4 -- 135,660 in P5 -- 15,504 in P6
22: 80,730 in P1 -- 368,550 in P2 -- 614,250 in P3 -- 466,830 in P4 -- 161,595 in P5 -- 20,349 in P6
23: 65,780 in P1 -- 328,900 in P2 -- 600,600 in P3 -- 500,500 in P4 -- 190,190 in P5 -- 26,334 in P6
24: 53,130 in P1 -- 290,950 in P2 -- 581,900 in P3 -- 531,300 in P4 -- 221,375 in P5 -- 33,649 in P6
25: 42,504 in P1 -- 255,024 in P2 -- 558,624 in P3 -- 558,624 in P4 -- 255,024 in P5 -- 42,504 in P6
26: 33,649 in P1 -- 221,375 in P2 -- 531,300 in P3 -- 581,900 in P4 -- 290,950 in P5 -- 53,130 in P6
27: 26,334 in P1 -- 190,190 in P2 -- 500,500 in P3 -- 600,600 in P4 -- 328,900 in P5 -- 65,780 in P6
28: 20,349 in P1 -- 161,595 in P2 -- 466,830 in P3 -- 614,250 in P4 -- 368,550 in P5 -- 80,730 in P6
29: 15,504 in P1 -- 135,660 in P2 -- 430,920 in P3 -- 622,440 in P4 -- 409,500 in P5 -- 98,280 in P6
30: 11,628 in P1 -- 112,404 in P2 -- 393,414 in P3 -- 624,834 in P4 -- 451,269 in P5 -- 118,755 in P6
31: 8,568 in P1 -- 91,800 in P2 -- 354,960 in P3 -- 621,180 in P4 -- 493,290 in P5 -- 142,506 in P6
32: 6,188 in P1 -- 73,780 in P2 -- 316,200 in P3 -- 611,320 in P4 -- 534,905 in P5 -- 169,911 in P6
33: 4,368 in P1 -- 58,240 in P2 -- 277,760 in P3 -- 595,200 in P4 -- 575,360 in P5 -- 201,376 in P6
34: 3,003 in P1 -- 45,045 in P2 -- 240,240 in P3 -- 572,880 in P4 -- 613,800 in P5 -- 237,336 in P6
35: 2,002 in P1 -- 34,034 in P2 -- 204,204 in P3 -- 544,544 in P4 -- 649,264 in P5 -- 278,256 in P6
36: 1,287 in P1 -- 25,025 in P2 -- 170,170 in P3 -- 510,510 in P4 -- 680,680 in P5 -- 324,632 in P6
37: 792 in P1 -- 17,820 in P2 -- 138,600 in P3 -- 471,240 in P4 -- 706,860 in P5 -- 376,992 in P6
38: 462 in P1 -- 12,210 in P2 -- 109,890 in P3 -- 427,350 in P4 -- 726,495 in P5 -- 435,897 in P6
39: 252 in P1 -- 7,980 in P2 -- 84,360 in P3 -- 379,620 in P4 -- 738,150 in P5 -- 501,942 in P6
40: 126 in P1 -- 4,914 in P2 -- 62,244 in P3 -- 329,004 in P4 -- 740,259 in P5 -- 575,757 in P6
41: 56 in P1 -- 2,800 in P2 -- 43,680 in P3 -- 276,640 in P4 -- 731,120 in P5 -- 658,008 in P6
42: 21 in P1 -- 1,435 in P2 -- 28,700 in P3 -- 223,860 in P4 -- 708,890 in P5 -- 749,398 in P6
43: 6 in P1 -- 630 in P2 -- 17,220 in P3 -- 172,200 in P4 -- 671,580 in P5 -- 850,668 in P6
44: 1 in P1 -- 215 in P2 -- 9,030 in P3 -- 123,410 in P4 -- 617,050 in P5 -- 962,598 in P6
45: 0 in P1 -- 44 in P2 -- 3,784 in P3 -- 79,464 in P4 -- 543,004 in P5 -- 1,086,008 in P6
46: 0 in P1 -- 0 in P2 -- 990 in P3 -- 42,570 in P4 -- 446,985 in P5 -- 1,221,759 in P6
47: 0 in P1 -- 0 in P2 -- 0 in P3 -- 15,180 in P4 -- 326,370 in P5 -- 1,370,754 in P6
48: 0 in P1 -- 0 in P2 -- 0 in P3 -- 0 in P4 -- 178,365 in P5 -- 1,533,939 in P6
49: 0 in P1 -- 0 in P2 -- 0 in P3 -- 0 in P4 -- 0 in P5 -- 1,712,304 in P6
Some information is obvious: no #1 in P2 or #49 in P5 and so on.
But if you add up numbers on a line, the total is always the same: 1,712,304.
And if you add up numbers per position, the total is always the same: 13,983,816.