Harrier
Coventry
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46 of 126
Wed 1st Apr 2020 10:10am
That is very good!!
Now it starts to get interesting...
Firstly write down on a piece of paper what you think would happen if you carried on with this procedure.
Then carry on with the procedure! |
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Old Lincolnian
Coventry
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47 of 126
Wed 1st Apr 2020 1:56pm
Harrier, I think I've worked it out are the next two
212223
114213
If I'm on the right lines I'll carry on |
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Harrier
Coventry
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48 of 126
Wed 1st Apr 2020 7:18pm
Well done Old Lincolnian. Carry on to see what happens ... but also jot down beforehand what you think will happen |
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JohnnieWalker
Sanctuary Point, Australia
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49 of 126
Wed 1st Apr 2020 8:34pm
End game 21322314
I thought it would continue...........!
True Blue Coventry Kid
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Old Lincolnian
Coventry
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50 of 126
Thu 2nd Apr 2020 10:21am
Me too Johnnie, I even checked it three times to make sure I hadn't made a mistake - there's probably some mathematical proof as to why it ends there |
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Midland Red
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51 of 126
Thu 2nd Apr 2020 2:16pm
If the answer is now revealed, perhaps some explanation might be forthcoming? |
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Rob Orland
Historic Coventry
Thread starter
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52 of 126
Thu 2nd Apr 2020 3:50pm
Yes please - I've still not managed to work this one out! |
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Harrier
Coventry
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53 of 126
Thu 2nd Apr 2020 4:39pm
With [pleasure but there is a lot more to come if interested....
SOLUTION:-
1 I have one number 1 which becomes the second line 1 1
1 1 I have two number 1s which becomes the third line 2 1
2 1 I have one number 1 and one number 2 which becomes the fourth line 1 1 1 2 and so on .... continue with this procedure .....
BUT when you get to the last line p 2 1 3 2 2 3 1 4
.... to go further strip out 1, 2, 3, 4 (the numbers you are counting up and you are left with 2 3 2 1
Now start with this and do the same pattern. Think about what you might expect this time ....
What fun!!!
Now what you could do is start with 3 instead of 1
That is
3
1 3
1 1 1 3.... what do you expect??????
The corona virus is expect to go on for some time, AND SO DOES THIS.
You must by now be desperate to try 4 ......
Health warning .... if you try others take care as a whole set of family members is out there ready to pounce.
I WILL DO OTHER THINGS WITH THIS SHORTLY???
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Harrier
Coventry
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54 of 126
Thu 2nd Apr 2020 5:36pm
On 2nd Apr 2020 2:16pm, Midland Red said:
If the answer is now revealed, perhaps some explanation might be forthcoming?
1
11
The first line is a number '1', so all you have got in that line is a single number I
Which you write in the next line as 1 1, that is "you only have got one figure 1"
To get to the third line you look at the second line [1 1] and see that there are only two figure ones ... that is, you now have two 1s for the second line, the first number one is telling you how many number '1s' you have got; in other words you have got two figure ones
so the third line becomes 2 figure 1's that is "2 1" because all you have is two number ones.
1
11
21
You now have one of number 1 and one of number 2 so the next line becomes 1 1 1 2. I am using numbers in print and numbers in figures to help explain what we are doing but we write them all down as figures when we write the next line.
Hope this helps?? |
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Rob Orland
Historic Coventry
Thread starter
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55 of 126
Thu 2nd Apr 2020 6:16pm
Thank you so much - I totally get it now. I started off on the right lines - but I was looking at the number of 1's in previous rows!
I wonder if it's just coincidence that the last line ends up repeating??? |
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Harrier
Coventry
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56 of 126
Thu 2nd Apr 2020 6:45pm
No Rob, it is much more interesting than that .... well at least it is to me!!! |
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Midland Red
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57 of 126
Thu 2nd Apr 2020 7:37pm
I think I get it - but shouldn't the 4th line be 1 2 1 1 ? |
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3Spires
SW Leicestershire
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58 of 126
Thu 2nd Apr 2020 8:34pm
You would have thought so as these are often called a Look-and-Say sequence.
However, for this one the rule appears to require the numbers to be processed in numerical order i.e. 1, 2, 3 etc so for the 4th line you read line 3 as one 1 (11) and one 2 (12) hence: 1112. |
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Slim
Another Coventry kid
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59 of 126
Thu 2nd Apr 2020 9:21pm
Time for an easier one. What is the next character in the series:
O T T F F S S...
? |
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Midland Red
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60 of 126
Thu 2nd Apr 2020 9:33pm
E |
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