Question 1092982: Can someone tell me conway ( 1,11,21,1211 ........)the 20,21,22,23,24,25 place ??
greets
J-P
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52790)   (Show Source):
You can put this solution on YOUR website! .
Only very perceptive mind can discover a pattern in this sequence . . .
I have no such perceptive mind.
Unfortunately . . . Or fortunately, perhaps.
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After reading the solution by Edwin, I became more determined: "Fortunately, certainly . . . "
Answer by Edwin McCravy(20056)  (Show Source):
You can put this solution on YOUR website!
Start with 1 as the 1st number.
1 is read as "one one", and so the 2nd number is 11.
11 is read as "two ones", so the 3rd number is 21.
21 is read as "one two, one one", so the 4th number is 1211.
1211 is read as "one one, one two, two ones", so the 5th number is 111221.
n a(n)
1 1
2 11
3 21
4 1211
5 111221
6 312211
7 13112221
8 1113213211
9 31131211131221
10 13211311123113112211
11 11131221133112132113212221
12 3113112221232112111312211312113211
13 1321132132111213122112311311222113111221131221
14 11131221131211131231121113112221121321132132211331222113112211
15
16
17
18
19
20
21
22
23
24
25
I got to the 14th one and quit. That's as far as I'm going.
You can keep going and finish if you like. They are going to
get very, very long!
Edwin
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