Axiomatic ones, "followers" of Kotkoduck & Kokostirk, I couldn't believe my eyes! I googled (that's 'search for you, K & K!) on this important query: 'Markov Chains in lottery'. I couldn't find a specific thread in rec.gambling.lottery dedicated to such an important matter.
Hey, this is the hou' of the smartest and toughest netizens of the virtual world! Let's fix that oxymoron -- 'rec.gambling.lottery without Markov Chains in lottery', shall we? And thusly I announce that there is special software for the application of Markov Chains. I wrote it in the hot summer (global warming, anyone?) of the year of grace 2015.
Moreover, I have already made important changes to the Markov Chain programs. Now both 'Followers' and 'Follower-like Pairings' can have null lines; i.e. no Followers or no Pairings. A null line is represented by -1 (minus 1).
New, the Followers and Follower-like Pairings are generated by the same methodology. The Followers are still calculated by the longer analysis range for pairings (ParpaluckP). The Follower-like Pairings are generated by the shorter analysis range for number frequency (ParpaluckF).
This Markov Chains method also shows an improvement in performance based on analyses of past drawings in several lottery games.
Axiomatic Followers of K & K, read this, will you?
There are two Web pages dedicated to Markov Chains applied to lottery, including specialized software:
http://saliu.com/markov-chains-lottery.html
(Markov Chains, Followers, Pairs, Lottery, Lotto, Software)
http://saliu.com/Markov_Chains.html
(Markov Chains, Lottery, Lotto, Software, Algorithms, First Program).
The following are the lists of 'Followers' (traditional Markov Chains) and 'Follower-like Pairs' -
'Followers' file for a 5/43 lotto game:
7 4 5 2 10 25
8 5 4 13 14 15 18
-1
5 8 6 9 10 11 12 19
8 7 6 12 15 21
8 9 14 15 17 19
10 11 15 17 19 21 25 28
10 9 25 12 13 20 11 32
18 16 11 31
13 18 20 12 15 21 31
14 15 16 19 26 27
14 16 17 22 25 26
24 16 17 22 15 26 29
16 17 20 21 27 29 34
20 21 27 26 30
21 18 27 40
18 19 20 23 25 30 31
34 21 25 29 19 39 41 43
39 25 32 33 34 21
22 27 32 35 38 41
22 23 25 26 30 33 37 38 40
25 24 29 30 32
-1
28 40 42
28 38 29 31 32 36 37 27 40
31 33 35 43
29 31 28 33 40 43
8 33 34 35 42
4 6 32 33 34 37 39
2 7 31 34 36
32 33 34 35 36 38 39 40
36 34 11 37 39 40 43
35 4 5 10 2 40
41 42 36 37 2 4 43
37 8 10 36 5
1 2 6 18 19 37 42
4 2 1 8 9 40 43
6 39 41 42 43
4 2 1 10 13 41 43
13 3 7 11 2 15 41 43
1 3 4 7 12 42
14 9 12 1 17 20
10 5 6 7 8 1 12 17
'Follower-like Pairs' file for a 5/43 lotto game:
34 7 14 17 19 25 28 2 39 41 42
34 18 9 14 1 19 4 36 42
-1
2 5 9 11 18 19 21 25 26 31 33 34 38 39 40 41
4 21 40 41
9 14 16 31 32 36 40 43
1 10 11 13 16 17 18 19 22 30 39 43
9 16 27 28
18 29 34 8 11 14 16 2 27 28 4 31 32 6 36 37 42
7 12 13 22 25 27 30 43
4 7 9 14 16 18 26 29 31 33 37 43
10 22 25 27 32 39 41 43
7 10 22 30
1 2 6 9 11 16 29 34 37 40 42 43
-1
43 7 8 9 11 14 18 27 28 40 6
1 7 19 39
34 9 2 4 11 16 19 29 7 36 42 43
39 2 4 7 17 18 25 34 36 38 1
-1
4 5 40 41
7 10 12 13 30 32 39 41
-1
-1
1 4 10 12 19 27 28 34 38 39 41 43
4 11 31 33
8 9 10 12 16 25 28 43
1 8 9 16 25 27 34 41
9 11 14 18 34 37 42
7 10 13 22
4 6 9 11 26 32 33 36
6 9 12 22 31 36 39 41
4 11 26 31
2 18 9 1 42 4 19 25 28 29 36 41 14
-1
2 6 9 18 19 31 32 34
9 11 14 29
4 19 25 39
19 4 7 12 17 1 22 25 32 38 41
4 5 6 14 16 21 41 43
1 4 5 12 21 22 25 28 32 34 39 40
34 2 9 14 18 29 1
16 7 10 11 12 14 6 18 25 27 40