This is an entry into the 20th fortnightly topic challenge.
Over the past few days, I have been receiving a series of strange emails. I wonder if you could tell me what they are:
Email 1:
Sender: [email protected]
Subject: 1
1: 1 1 1
Email 2:
Sender: [email protected]
Subject: 2
3: 1 2 2
2: 1 1 1 2 2
Email 3:
Sender: [email protected]
Subject: 10
6: 0 0 0 0
7: 2 2 3 2
5: 1 2 2
Email 4:
Sender: [email protected]
Subject: 11
4: 0 0 0 0 0
12: 1 2 2 3 4
Email 5:
Sender: [email protected]
Subject: 12
13: 1 2 2 3
Email 6:
Sender: [email protected]
Subject: 20
15: 1 2 2
14: 2 4 4 8 9 18
Email 7:
Sender: [email protected]
Subject: 100
10: 1 1 1 1 1 1
11: 2 4 4 8 10 20 30 56
9: 0 1 1 2 2 4 5 10
Email 8:
Sender: [email protected]
Subject: 101
8: 4 5 7 7 8 9 11
24: 1 1 2 2 4 6 10
25: 0 0 2 2 4 8 16 12 48
27: 2 2 4 8 13 25 44 83
Email 9:
Sender: [email protected]
Subject: 102
26: 2 2 5 4 7 7 11 9
30: 1 2 2 6 6 18
Email 10:
Sender: [email protected]
Subject: 110
31: 2 6 9 17 30 54 98 183 341
For clarification, I think I have provided enough information so that this is not a 'guess what I'm thinking' type of puzzle.
I will release more emails every now and again, depending on the progress everyone is making.
In an answer, I expect an explanation of how the emails are generated, and also what the next email should be.