...Thanks for that 41-line, 21-number lotto results assembly list, moses! I would like to pick your brain a bit after pointing out some simple observations as outlined below.
...I was trying to compile a similar list for our Canadian National and Ontario Provincial 6/49, 7/47, and 6/45 lotteries, but found myself far short of time and computing speed and power to accomplish the deed properly! I wasn't sure how many lines would be needed to accomplish a tell-tale distribution like yours, but I did spend a small fortune on many commercial lottery software titles that were capable of the job with a little manipulation and forethought.
...The simplest observational effort I previously persued in this direction was to assemble 3 simple lines of 32-33 numbers which would more consistently produce combos with a draw result of 4, 4B, 5, 5B, 6, 6B, 7 and 7B among one or two of the 3 lengthy lines of numbers for most any 6/49 draws ( or comparably close to a 6/49-style draw...example, 7/47, 6/45 ), but this simple assembly requires far too many combos to deal with.
...Basically, I simply observed and joined three obvious lines which included all the numbers in an " up-to- 49-number " lottery to create the larger lines. Trying to guess which of the three larger lines from which the drawn numbers come from is a major undertaking requiring a lot more thought and filtering.
A = 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49
B = 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47
C = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48
The total drawn numbers have to come from any of, or all of line A, or B, or C, or combinations thereof.
By combining A+B, and A+C, and B+C, you wind up with one 32-number and two 33-number lines. One of those three lines will usually contain the bulk of the drawn numbers in any 49-number game.
Pond A = A+B=1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47
Pond B = A+C=1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48
Pond C = B+C=2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48
You can check any lottery results ( games up to 49 numbers ) against those three ponds of numbers to see if any one line corners the jackpot numbers more often than not. For fun, I will demonstrate my simple point using the draw results of Canada's March 20, 2009 National Lotto Super 7 ( 7/47 ) draw.
The published Lotto Super 7 Canada results were 10, 23, 28, 29, 31, 32, 46, B3
Pond A contains the drawn numbers of 10, 23, 28, 29, 31, 32, 46 ( Jackpot was in this pond )!
Pond B contains the drawn numbers of 10, 28, 31, 46, B3
Pond C contains the drawn numbers of 23, 29, 32, B3
The March 20/09 Canada Super 7 draw jackpot was in Pond A, ...now if only there was a way to have guessed that! I think moses' list can steer me to the right pond if we add a few functions to an Excel Spreadsheet with his list put to test.
...I believe that your 41-line list of 21-numbers each is a similar but refined distribution based on mathematical calculations using actual results, whereas my three ponds did not require anything but observation even though the larger lines are more capable of cornering larger prises for those who can buy millions of tickets!
...I copied and pasted your list straight from your post to notepad in text form as is, and then opened it as a text file in Excel, later saving it as an .xls file for the Excel spreadsheet...but I don't know enough about Excel to do some phreaky things I want to do with your list.
...If you can help moses, or if any innocent bystanders can help with this, I would like to see your 45-line, 21-number list ( or any other lists you have assembled ), on an excel spreadsheet, and perhaps have a large search input line at the top of the sheet where I can enter from 1 to 36 different digits to automatically search for hits within your list on the spreadsheet, and also highlighting those distinct hits in different colours...For instance, all hits ending with zero in your list will be a color of your choosing, and all hits ending with a 1 will be a different colour, as will those hits ending in 2,3,4,5,6,7,8,9 for easy tracking.
...Entering only the current draw results in that input window will show us your original point with your list, and being able to enter " test digits " of up to 36 different digits are for those of us who still use the ponds theory, or play with ( or design ) predictive software which spits out many numbers to play and input...so that we may see what possible outcomes your distribution list provides. Your list might be able to help steer us to pick more favourable numbers if you can include those added functions with an Excel Spreadsheet.
Thanks.
LottoHackJack